{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## This notebook will help you train a raw Point-Cloud GAN.\n",
    "\n",
    "(Assumes latent_3d_points is in the PYTHONPATH and that a trained AE model exists)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import os.path as osp\n",
    "import matplotlib.pylab as plt\n",
    "\n",
    "from latent_3d_points.src.autoencoder import Configuration as Conf\n",
    "from latent_3d_points.src.neural_net import MODEL_SAVER_ID\n",
    "\n",
    "from latent_3d_points.src.in_out import snc_category_to_synth_id, create_dir, PointCloudDataSet, \\\n",
    "                                        load_all_point_clouds_under_folder\n",
    "\n",
    "from latent_3d_points.src.general_utils import plot_3d_point_cloud\n",
    "from latent_3d_points.src.tf_utils import reset_tf_graph\n",
    "\n",
    "from latent_3d_points.src.vanilla_gan import Vanilla_GAN\n",
    "from latent_3d_points.src.w_gan_gp import W_GAN_GP\n",
    "from latent_3d_points.src.generators_discriminators import point_cloud_generator,\\\n",
    "mlp_discriminator, leaky_relu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Give me the class name (e.g. \"chair\"): chair\n"
     ]
    }
   ],
   "source": [
    "# Use to save Neural-Net check-points etc.\n",
    "top_out_dir = '../data/'          \n",
    "\n",
    "# Top-dir of where point-clouds are stored.\n",
    "top_in_dir = '../data/shape_net_core_uniform_samples_2048/'\n",
    "\n",
    "experiment_name = 'raw_gan_with_w_gan_loss'\n",
    "\n",
    "n_pc_points = 2048                # Number of points per model.\n",
    "class_name = raw_input('Give me the class name (e.g. \"chair\"): ').lower()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6778 pclouds were loaded. They belong in 1 shape-classes.\n",
      "Shape of DATA = (6778, 2048, 3)\n"
     ]
    }
   ],
   "source": [
    "# Load point-clouds.\n",
    "syn_id = snc_category_to_synth_id()[class_name]\n",
    "class_dir = osp.join(top_in_dir , syn_id)\n",
    "all_pc_data = load_all_point_clouds_under_folder(class_dir, n_threads=8, file_ending='.ply', verbose=True)\n",
    "print 'Shape of DATA =', all_pc_data.point_clouds.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set GAN parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "use_wgan = True     # Wasserstein with gradient penalty, or not?\n",
    "n_epochs = 10       # Epochs to train.\n",
    "\n",
    "plot_train_curve = True\n",
    "save_gan_model = True\n",
    "saver_step = np.hstack([np.array([1, 5, 10]), np.arange(50, n_epochs + 1, 50)])\n",
    "\n",
    "# If true, every 'saver_step' epochs we produce & save synthetic pointclouds.\n",
    "save_synthetic_samples = True\n",
    "# How many synthetic samples to produce at each save step.\n",
    "n_syn_samples = all_pc_data.num_examples\n",
    "\n",
    "# Optimization parameters\n",
    "init_lr = 0.0001\n",
    "batch_size = 50\n",
    "noise_params = {'mu':0, 'sigma': 0.2}\n",
    "noise_dim = 128\n",
    "beta = 0.5 # ADAM's momentum.\n",
    "\n",
    "n_out = [n_pc_points, 3] # Dimensionality of generated samples.\n",
    "\n",
    "\n",
    "discriminator = mlp_discriminator\n",
    "generator = point_cloud_generator\n",
    "\n",
    "if save_synthetic_samples:\n",
    "    synthetic_data_out_dir = osp.join(top_out_dir, 'OUT/synthetic_samples/', experiment_name)\n",
    "    create_dir(synthetic_data_out_dir)\n",
    "\n",
    "if save_gan_model:\n",
    "    train_dir = osp.join(top_out_dir, 'OUT/raw_gan', experiment_name)\n",
    "    create_dir(train_dir)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "reset_tf_graph()\n",
    "\n",
    "if use_wgan:\n",
    "    lam = 10\n",
    "    disc_kwargs = {'b_norm': False}\n",
    "    gan = W_GAN_GP(experiment_name, init_lr, lam, n_out, noise_dim,\n",
    "                    discriminator, generator,\n",
    "                    disc_kwargs=disc_kwargs, beta=beta)\n",
    "    \n",
    "else:    \n",
    "    leak = 0.2\n",
    "    disc_kwargs = {'non_linearity': leaky_relu(leak), 'b_norm': False}\n",
    "    gan = Vanilla_GAN(experiment_name, init_lr, n_out, noise_dim,\n",
    "                      discriminator, generator, beta=beta, disc_kwargs=disc_kwargs)\n",
    "\n",
    "accum_syn_data = []\n",
    "train_stats = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 (0.07408812570351142, -0.1206897652225086)\n",
      "INFO:tensorflow:../data/OUT/raw_gan/raw_gan_with_vanilla_gan_loss/models.ckpt-1 is not in all_model_checkpoint_paths. Manually adding it.\n"
     ]
    },
    {
     "data": {
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OIxAI4NSpU4hEIlCr1ZyA6fX6pvGD1VMwm/H6ELRgVcOHJcQ7Fuv/yRWdSCSCUCiEo0eP\ncv9j908ikcywfuRyObRabZYgFXNhDgwMQKWqPDr/k5EQPhycwomJyAzBqicEQXAVCjo7O7lid4FA\nACMjIwiFQpBKpTCZTIjH41XZ93JptIXXaAQtWPPFh8UwzKwzX+zzTCbDbW8+/49SqYRCoUBnZyfk\ncnnJDV/rzUU9Jnz1QhdW2LRVW2e1qiGwxe7YOlGpVAqBQAB+vx+nT5/G0NAQjEYj58ivpx9MFCyB\n0qw+LJqm8wrQmTNnZggQux18AWIfWeuHfU8qlc56skajUYTDYWi11ROAWqKSSXDHxva5F2wC5HI5\nbDYbwuEw9Ho9WlpaEAwGEQgEMDw8jFQqBZ1Oh5aWFhiNxrLbb81FM9xgG4ngBaseYQ2s/2c264d1\nQAPTApRr/bDDDv57xTigS2U+nNC13odK23wB0xau2WyG2WwGMH2TYv1g/f39iEaj0Gg0MBqNaGlp\ngU6nq4q1Kw4JBUw5Bfz4Duh4PI5UKoWxsbG8AsSumyTJGdaPTCaDRqOZIUCFmJiYQGtrbbvQLOQT\nudGQJMk58ru6usAwDGKxGAKBAM6ePYtQKAS5XI5EIgGfzwej0Vh2w4eF/DsLWrDYIeHU1BRkMllB\nP1Aqlcry/7AOaKlUikwmA4qioFAooNPpSnZAizQXxV7MtQ4cZdvRazQauFwuAEAymcSHH34Ir9fL\nNURl/WAmkwkKhaJq3z9fqYtgvfrqq7jvvvtAURTuvPNObNu2Lev/P/zhD/HUU09BKpXCYrHg5z//\nOTo7Owuu74033sCDDz6IVCqFyclJ/MVf/AW+/e1vZ1k/arUaBoMhS4Byf2iapvHxxx9ndaYWOvNh\nSFhrGnWMFAoFZDIZVqxYAQDczZa1wtLpNPR6PSdgarV6xjm70H/fmgsWRVG499578frrr8PlcmHD\nhg3YvHkzVq5cyS1z3nnnobe3F2q1Gk888QS++c1v4sUXXyy4zssuuwy9vb1wu93YunVrVp/DhcxC\nuPNSNIPDYyH0tGoaUpqnmhaOVCpFa2sr5yqgaRqhUAiBQAAnTpxALBaDRqPhBEyn0zVFieVGUvNf\nfN++fVi8eDEWLVoEANiyZQt2796dJViXXXYZ93zjxo149tlnZ10n6ysSagE/kfL5j0/G8cS7Q1jf\nYcBj169o9OZUFZIkYTQaYTQa0d3dDYZhEI1GEQgEMDQ0hHA4jHg8joGBAZjN5qZrwVUPai5Yo6Oj\nWUMul8uFvXv3Flz+6aefxtVXX13UusVI94WHTSeHlCTgNJQf99TIelilfg/bN5C9hj744ANoNBp4\nPB6cPHkSBEFk+cHmSmcSug+sqZzuzz77LHp7e/H2228XtbzQCvjV42SZLxZjoeP02cVm/PYeI5TS\nxkyINPr4EgQBu93OBbRmMhkEAgFMTU1haGgImUwmyw+mUqmyjqUoWHPQ1taG4eFh7vXIyAh3sPm8\n8cYbePTRR/H2228XNVsCVB44Ot8Q8olYCirZwhoG8ckVHHaiymKxAJj2gwWDQUxNTaGvrw+xWAxa\nrbaggM1GM55PNResDRs2oL+/HwMDA2hra8MLL7www0l+4MAB3HPPPXj11Ve5jPpiEFI9LNZf1own\nwUKjkY1Uq8Fs30+SJCdOfD/Y5OQkBgcHEQqFkEwmcfr0aa7AoZD8YDUXLKlUih07duCqq64CRVH4\n6le/ilWrVuGhhx7C+vXrsXnzZvzt3/4tIpEIvvjFLwIAOjo68Morr8y5bqENCWuNOIkwTbFxUkKk\n1N+X7wfr6OhAKpXCxx9/DLVajfHxcfT19WWJnNFobLr29Hzq4sPatGkTNm3alPXeI488wj1/4403\nylqvkARLFJPiaebj1OwWVjFIpVI4HA44HA4A00UP2XiwgYEBUBQFg8EAq9XKBb02C03ldC8VkiQr\nbqQqks3BkSCGJuPYtMoK2Tzumdho0WkU+QRXJpNl+cEoikIoFGpKY0DQgiWkk04IFhbNMPj2KyeQ\nSNOwaOW4aFFLozepJlT6OwjpvMulmH1na+A3Y2pa822RSEmMh5J4p9+PNEWXJIo0w8ATSmYtTxIE\nrl5pxQq7FkutwihRU2+a/aYzF80wpK0EQVtYQqJWFtbD/3USJzwR3H95N65eXrxF9OS7Q/iPTzy4\n86J23LzOyb3/V5d2zVg2TdGQkkTTnejhRAZH3WGc326A/A9xWfUQlGY7DqUgdMESLSyBs8apg04p\nxSKzGkD2BXtwJIg/++lHeHbfyIzPJdI0KJrBv+8bwbbdfaDo/Bf6/qEp/MmTvfiXtwZrsv2V8L/e\nPINvvdKHf983WtLnqlEPq96frRaiYIkURa0srHs/14VXvrYBa9r0M07Eo+4IfNEk9g8FAUwPHw8M\nB8EwDP7q0i58+6oeJNM0PhkJwR1M4PF3BvHiR2OIpT51to5OJZDK0E3ZNbrbrIJcQqLL3Lga60JD\n6IIlDgnrRCNOkj9ba4dVJ8c5Tj0A4Bu/OYrJWBoPX7MUF3abcMWyVsilEuiVErzV78dTe4bBMMBY\nMIFvXD6drH7tGhucBiWWWDV13fZijtftG9vx5Q1tdZ3NrNQ6GwjSSPf7cMlic8OEQxQskaKo95BA\nJZPg88st3OvOFhUiKQpW7XRgIEEQuGTxtN/r6FgYDM2ABqBVfBr5LCUJ/FGXsa7bPddx4ret5/8l\nk0kkk0loNBpYrVbo9TOtTvbzjbhoI8kMnvgkCdnxPuzYcg5W/eFGUk+aYVhaCaJg1Yl6XSCznZDf\nu245MjTDWSTBeBojUwm0amR4Zu8oCJKATSPDFcssBddRS1gRikQiiMViGBkZmSFKuVVj+X9GoxEE\nQSCdTnNlidVqNVd7PV9BvFKpROyUUhKLTRIwChXajI0Zxpay/c1oiYmCVUdqfXeb6wQjCAIyyafL\nfGt3H/q9MXzzykW4qNuIeJrGfZd1Q6uQ4C9eOAy7XoG/u3oJyApOXLaDNGsB5QpQKpWaUTufbXvG\nNu5gBUkmk82Z95ZOpyGXy9He3s7VVff7/Th58iRisRj0ej0SiQRSqVTdW9RLSAJfX6vCBResq+v3\n8hF9WCKCpVUrxxlfHC0aOf7h2mXc+4dHQ+j3RnHGH0ciTUMtzxYJhmE48SkkQplMBgRBcB2E2D+F\nQgGtVpv1Xq4IBQIB+Hy+vFU9ioG9IPl11Ts6OriKnocOHcKxY8fAMAxMJhPMZjNMJlPRTSEaMcNY\nLUTBajDNcvApmgFJFN6eekW6l/IdD1+zFLEUBa1Cylk1yWQSdkUKd683QyOlMTp0JkuEACAWi6Gv\nry9LhNRqNZc4W6sWZpXCVvRUq9VYs2YNpFIp1xz11KlTIEmSGz4aDIa8kd5Cj5IXBavBNMNda3Qq\ngb/cdQTtJhV+dOPKioZQlZCvYQHbNajQH9vOniAIrmGHQqGAP5rCSwNRfONzLqzucmY1ct2/fz/O\nPffchuxjNZFIJFk11VOpFPx+P0ZHR3Hs2DGoVCpOwKrRGLUZzlVRsOYBlf6I/mgKiTSNs5PxaUtL\nMnNd1bKwGIZBJpPJKz7JZBLRaBT79+/n9ontKK1QKDjrhz8ky+0mlKamA0o/2X8Mw6EMBsLABZr6\nhjTUGv7vHU5k8PHZKWzoMkEtl3NVDBiGQTweh8/n4xqj6vV6xGIxpFKpir+3UTSDaFbCghesahTW\nW+PU4XvXLYdZIys7JqiQCOU6pwmCgEQiyRIguVwOtVoNqVSKaDSKdevWFZW4OhlNYcQbxmqnDiRB\nIE3RuPNXhxBOZPCNy7th1/nxR53TIQ0HR0J4//Qkvrxh2q+0dzCA5/aP4e6LO7DKoStrn0uBzZWU\nktW94H/05mm8etSDL65z4v4rFnPvEwQBtVqNjo4OdHR0gGEYhEIhHD58GCdPngRN05z/q6Wlpeym\nqI2g0aJZCcI5ygVohoNPEATWumbG1PBjhZLJJMbHx0EQRJYIsSU88okQf4ZMLpfPKUIURYEgiKKz\n7B/c3YdBfxzfvmoxLltqRppiEIxnkKZo/OchD9486YMvmsJPblqN7712Cn2eCPYPTeHPFzN47ZAH\newen0NGiqrlghRIZ3PP8IZAEgZ9+aQ00iuqdtsvtWrzV78NS2+zJ3gRBwGAwQKPRYNmyZVAoFJia\nmoLP58Pp06dBkiRaWlq4bjaF/F+NPl+bYRsqQfCCBUxPnZdbCqPUoRp/mr7QsIwvQqzYsA7ruWbI\nKqHUE9GhV2AkkIBZIwMAqOUSPLFlNbyRFO5+7hBSFBBLTYccWDQyHGOAj4ZDIJIkHvyTNqQyNJIZ\nCrEUNWMmsZrEUhTCieljmsjQ0BRX8r8ovriuDTec5wRZouUmkUg4/xYArqmv2+3G8ePHoVQquf9r\ntdqsmctGIgpWg2GrjlYiWDRNz+oX4s+QsbFCucMx/gxZvuHBsWPHYLVaodU2T9mWh69ZimSGzmrq\n4DAoISEJ6JQyABlsvWi64uTXP9eJt08HAAADQRpff+EIArE0FDISFy9qwSVLzFXbrtyLyq5X4Mc3\nrgRBEDBrKi/fm7v+UsUq3wUvl8tht9tht9sBTM+kTk5O4vTp04hEItDpdNDr9Q0viicKVoNhG1HI\nZLKs92ebIeOLUCwWw4EDB2YMx5RKZdaQjJ0ha3ZKsRZJgsgSK4ZhMBlLw6KV42dfXgOCINDZMh2R\n3WPRQEoAGQaQSYBgKgOKmU7/WdtuqPp+5NJjaQ7Hf7HHV61WQ61Ww+VygWEYhMNheDweRCIR7Nmz\nB0ajkfN/5Z67tUQUrCJ59dVXcd9994GiKNx5553Ytm1b1v+TySRuu+02fPTRRzCbzXjxxRfR1dWV\nd10Mw+Ctt96Cx+NBOBzGAw88gC1btkCr1eadpuf/5c6QHTx4EKtXr675SVOPOKxKT8Tne8fwiw9H\ncOsGJ267wIU0Nb29DMPgn//vaUhIAkopCaWUgi8+/b9z2/QIJdJQyyX4/3YdgTeSwg/+bAU6W9RZ\n6z48GkKGZnBeHcStGOrZSJWN2JfJZAiHw1i7di2mpqbg9/sxMDAAAJz/a7ZKn9WaZRZTc+aAoijc\ne++9eP311+FyubBhwwZs3rw5q139008/DZPJhFOnTuGFF17Agw8+iBdffDHv+giCwGuvvYaWlhZI\nJBJcfPHFWLJkCUwm04xp+rkQQuniWhJPU5BJSEhJAuFEBhmKxq/2j+J3RyYQTmTwyLXLYNXJ8fLB\ncVAMwIDCYPLTz//+pB8Hhqdww1oH9pwJgGaAW545iK9d3Ilb/2h6RtEXSeGbv+0DA+CBK7rx/TfO\noMOkxP++cRWUMgkkOQG3g4EEfvA/PlwXVGcVF6wWjappxYoF66BvaWnBkiVLkE6nMTk5CY/HgxMn\nTkAul3P+L51Oxx2ballHzShExVIXwdq3bx8WL16MRYumS5Zs2bIFu3fvzhKs3bt34+GHHwYA3Hjj\njfjLv/zLWX+g7du3AwBee+01fOELX0BLS3n1x+slWM0ojAP+GO779VG4jEr8682rcVFPCw6NhXB4\nNIxgPA4GwP2/OYpkmsIfjC2k8rhgAnEKT30wXSRQLgFSGQpvnvBirUuH3x2egEY+XbMqRTHwhJPw\nhJKYCKfw9J5h/PpjNxgw+MwiE2JpGo9csxRHx2MYCKTx6jFvTQQLmBZqDSkp2X9VC2QyGWw2G2w2\nGwAgHo9z1lc4HIZWq+WGj5UiDgmLYHR0FO3t7dxrl8uFvXv3FlxGKpXCYDDA7/dzUciFkEgkguic\nU4+TpFRRDCcySFMMvJEUGAA/eWsAh0dDuHxZK647x4bH3xnCyYkoJ1bFkKIAUAx6z4bwpV8chEEp\nhUwCPPfn52PvQAA/ePMMbHo5nHoFdn00hlByWgH/+5gPAPCXu47gnze1IxyJ4oq1PTjhiaCjRVXV\nbs/9AQrf/rf92NjdgkevWzn3B3hUWg+rmM+qVCq4XC7O/xWJROD3+3H8+HGEw2EcPXqUE7BSewg2\n202zVOaN071c6mn5NNvJck6bHj+6cSVMahlIgsANa+1QyiS48zMd8EdTuPdzXRgPJfHDN07BFyvv\nGAcT07Or1/1bL5bZNAgmKAQTFEgQnFjxOTwWwbVPHQdJAi8ePYQMTaHdpMZTt56LcCKDx98ZwpXL\nW/G5CmYlQ0kaGYqBO5goex3lUo7/S6fTQafTweVyobe3F06nEz6fD0NDQ6BpOsv/NVeYjGhhFUFb\nWxuGh4e51yMjIzMy8dllXC6GTLRMAAAgAElEQVQXMpkMgsEgF+MyG5U2U63nkLCaRJMZPN87htVO\nHTZ2m8r+nmW8gMmrVlpx1UorTngi+NuXj0MuJfHl9W1lixWfeJrGwZEw93okmCy4LAWAooHJ+LTY\nHR2P4vZffoLLl7bgzRM+jEwlKhKstVYJNq5dhq7W0kNMGlUPnoXfpRmYzpCYnJyE1+vFyZMnIZPJ\nOP9XvgKGomAVwYYNG9Df34+BgQG0tbXhhRdewHPPPZe1zObNm7Fz505ceOGF+M1vfoPLL7+8qAMr\nFMECqmthvXcmgJ17R2DRyvHy3eurtl4A6PNEMBlNgyQJ9I2H5/5AHTg5EQVNM7juHNsfovLpvGlQ\nxRxjkiBwrstQ1aDdYqlELPLtm1QqhdVqhdVqBQAkEglMTk5iaGgI4XCYK2DY2toKlUolClZRXyKV\nYseOHbjqqqtAURS++tWvYtWqVXjooYewfv16bN68GVu3bsVXvvIVLF68GC0tLXjhhReKWrdEIuGC\nOhcS69oN+MyiFqzvrDxMYMAfg14p5YIyl9u0kEgIMDSD3x31Vrz+anHKF4PDIEfvWSke+t1JPLRp\nSVnNXiu9aBtlYRWz3UqlEk6nE06nEwzDIBqNwu/3o6+vD/F4HBKJBFqtFqlUqmT/VzNQNx/Wpk2b\nsGnTpqz3HnnkEe65UqnEr3/965LXKxQfVrW/p1Urx/brl1e8nmPuMB74j+PQKqR4/s/Pg4QksMym\nxWObl+Gne4ZxyhtFponmNPYNBcGAQIpiMDI10weVoZma/p7VCGuo1+cJgoBWq4VWq0VnZydomuYq\nrx48eBAURWUlcDfC4iwVwTvdSZKsaJawGcMNKqHUfVHLJZCSBLQKCdhrgWYYvHzIg9PeKOQkgUyB\nnoWNwKSWYeuF7aAYBufnBKEedYfxt/9xDJ9ZZMY/bC5t9q8UGmGdVePzJElCpVJBq9VyvmJ+AUN+\nfqReX/8GGcUgeMGq1MKqF80qjF1mNZ778/OgkJJc4UFfJIUTnggkJAmzVo5UMIFME2y6jCTQZlBi\nbbshb5mZ8VASyQxTVA9FITZSrXaku1QqhcVigcUy3XQkmUzC7/djeHgYoVAIq1at4mLDmgXBC1al\nPqxmFZJyKedC1OaUa7Fo5fjaZzsRT9FwGRX4+QfDOOaONES0rFoZ7Ho5TGo5TkxE4YumkcrQ+Nf3\nz+KT0RAe/ZNlcBimm0lcttQMtRRYai/s1+sbD+OHvXHcbZjA51fW/2Ks55Cw1HUoFIos/1cz1vhq\nvi0qkYXqw6olBEHgpvOdGPTH8MPfD+CUN9YwC8sfTUOtkOLJL63AyYko9Eop1HIJ/uekH8F4Gv0T\nUU6wSILAunY9lMrC9WfeOulD/xSN337iLlmwzk7G8D9nk1i6OgNTGRdzPZzu1VpHKXXV6ongBasa\nYQ0iM/FHU7jtlweRyjDY2G1CnzuEsXC65t9r18nxT19owwdnfHhvJAN/LAOzWga5lMS6jk8tp+9d\ntxyD/hguXGSaZW0z+eL5bRgdPovbedVFi+Wx1/qx51QKJtsY7rlkUcmfb4aQgmbYhkpY8IIF1CcC\nXUgWFgC8fzqASJKChCDwjcu7cd+vjwL4VLBIAEaVBGqFFCNThYNAS2GxRY2nbjkHSITRKtPj/k09\nSFM0SIKAJMdntcKuxQp76YGfZq0cV3fLsNha+mevWmnF2XE/NnZXntNXDvW0sJqVBS9YQhOSuajW\nvlzcY8KWdU5c0GVEl1mNRE5sAw1gMk5hMk5BpyARTpY3U0v+YV0uowIv3bUOJEHAz4tWKFQjn2GY\nGS3qk8kkEokE9Ho97HY71Gp13s+Wy+ZzHbDEBrGmrbwZtHqHNdRqHY1E8IIl+rBqQ4tGjm9+vod7\nfdsFLjy3fxTuUBIUxYAvT9EUzQlPKey4aRXe7PPiv456oZRJQP7hGLHVX/1+/wxB4jfj4PdFVCgU\n0Ov10Ov1SKVSOH78OJLJJMxmMywWS8E66+XQyAteyGJTDQQvWNUYEooU5oQnglatHLdsaMNSixrf\nf+MMotEoSLkSg5PTptAFXUZ8ODCV9TkCAF+eJQRg08kwFpoeVqqkBFSpKdyyjMQKjQYMlcaHe/dy\noRUMw0Amk3FNWk0mEydOswkP24K+q6sLFEXB7/dzddY1Gg2sVmtFcXuNDhytFNHCajBCGRIKMcn6\nwHAQf/PycZAE8PJd6wBiusICSRDQyiUgCUBKEjg8GoaEAHRKCQJxCkoJwDAAO0qUYrq08ngojeuX\nKHHVEh1a9SoYNUooFApQk3I8s28cly0148rlrVikpRAKBtHT0zPr9s2FRCLh8uzYMsVerxfxeBx7\n9+7lYpD4TSJqjTgkrAxRsAQ2VKslyQwNkvjUb6SRSxCMp0EzDF75eBCLTVIQdAYmGYORqSikBKAg\nGZCg0KYjcNd5OgxHgPeH4+jzJSElCZzv0iEQS6PfF4dKLsFDN6yf4ZciJTGAIPD6cR/e7p/ENz5r\nx9Iqdw5jyxTr9Xp4PB6cd9558Hq9OH36NKLRKEwmEywWS1EpKo2s1iAKlsCRSqWCSH5uJmFk/UR8\n35A3FMffveGBlGTwwDo5ZMT0iX3LCgWO+mn06Bi0G+T4xU1LcObMKcCyGCmawGKLBl974QgyFI0P\n/XIcGg3hrs90YjyUwDKrFhd0m3BqIoJ/evUUPOEkXj44PqOK6Jb1TmzsNuHnH5zF4bEIrBopCKK2\noSpyuRxtbW1oa2sDTdMIBALwer3o7++HQqGAxWKB1WqFUqkseztyEYeElSN4waq04qgQh2qzwTAM\nYrHYDEc1+5y1Rln/EOcXkilBgQQIEitXnwPTH5r/bcjzHcNnB7FhsYX7vlUOLU57Y/CEk4inaUhI\nAl/7bBe3PEEQGA0mEUtlcNITmVEahiQILGpV45/+ZDlohsGk349QqDqhEsVAkmRWj8FoNAqv14vD\nhw8jk8nAbDbDarXCYGhsAw1xSDhPBEsoQ8JKvoem6RniwxekdHramR2LxXDmzBlu5oydPWPFqVC6\nRTuAf/2SCVKS4MSqGAiCwGPXrwDDMPBFUnjtuBcKCQmaYUDRDI6MhUEQgEElhVkjwweDU/irXUfx\nxJbVeS8csgkuJo1GA41Gg66uLmQyGfh8PgwPD+PIkSNcB2+z2Vxyp6VmCGsQOgtesBoNG0+UzxpK\nJpNc2zK2gStfiNRqNfec7Zu4b98+rF69uqxt6TaXH7dEEAQSaQrP7hsFRTOw6uXoG4/iZ++fxcZu\nI5674zyc8kbx3d+dxFS89hHz1UIqlXINUhmGwXvvvYdwOIyBgQFIJBLOca/RaAQhJkIXvXkhWM2Y\n/JzrJwqFQmAYBsFgsKh4In5j11JrIM2GP5rC/3rzDM5t01e1I82h0RAe/G0fKIZBR4sKoUQGrVoZ\nJCSBNqMSRrUM6zuN2HHTKpjUpbViaxYIgoBEIsGSJUuwZMkSJBIJ+Hw+nDx5EvF4HC0tLZzjPl/o\nRTNYWGJfwgbTiMBRVojyBTXm8xMpFAowDMO1M2fFqBHJpQeHQ3jvdABHx8IVCRbDMHiudwyxFIU/\nv7Ad1B9qZnW2qGHRyvEP/6cfX7u4A7u/th5K6af72WPR4O9/dwJH3RH88IaV6PhDZ2kholQque42\nNE1jcnISExMTOHHiBNRqNWd9KRSfDrGFJFjNiOAFq5o+rNn8RMlkkrPkJBJJ1tCMbxUpFIq80+Ij\nIyMgSbLhjtsLF5lw2x+1YaVjOpcuTdHYNziFpVYNLLq5fVc0w8ATozEeSuKZD0fAMAwuXWLGee0G\n/OyWNTCpZHj6g2FISQJWnSJve64j7ghCiQxGphKCFiw+JEmitbUVra2tXGlir9eLTz75BDRNo7W1\nFSRJVmzNi4IlcIqZJZzNTxQMBkHTNM6ePQuSJLNmzhQKBTQaDfea9RMJGbV8uo0Xy/85OoEf/c8g\nVti0eHzL3L6vX3/sxuO9SWzOjGLLOgdiKQpd5mnRcRmnH//qc12486IOqOX545l+eMNKjE7FsbHb\nWIU9aj74pYm7u7uRTqfh8/lw9uxZRKNRJBIJWCwWmM3mkmpOiWENAhcshmGQSCQwNTWFTz75BBaL\nZYYgsT8QKzrsI2sRKZVKrnBZLanXbGSp39HZooJaJimp8gHDAAQIbL2oI+//CYIoKFbsd3bOE8uq\nGGQyGRwOB4DpWdyWlhYuaFUmk8FqtcJiscyZrC0OCRskWJOTk7j55psxODiIrq4u7Nq1i+uzxnLw\n4EF8/etfRygUgkQiwXe+8x3cfPPN3P//8R//Eb/97W+RSCTQ0tICm82GK6+8EhqNBi0tLUX7iYLB\nYE32USisdRnwu6+vL/okvul8B7SRYVz12e4ab9n8g53tZfsKLl26FPF4HF6vt6hk7WqJjZAFqyEl\nBbdv344rrrgC/f39uOKKK7B9+/YZy6jVavzyl7/E0aNH8eqrr+L+++/H1NSnCbbf/e538dFHH+GB\nBx7AddddhzvuuAMul4sL8FMqlUU7tRd6LmGps5BWNZlVU31kKo4n3hnEoH/uWuoLndxjrVKp0NHR\ngXXr1uGCCy6AyWSC2+3Gnj17cPDgQYyNjSGVSlXt+5sl26JcGmJh7d69G2+99RYA4Pbbb8ell16K\nxx57LGuZpUuXcs+dTiesViu8Xi+Mxmy/h1hxtPE8t38MLx8chzuUxCPXLqt4fUIfthRiLrEolKx9\n4MABANOzklKptOLu00I+tg0RLI/Hw43p7XY7PB7PrMvv27cPqVQqb/Z+NVJzKvl8Kd8j9LtbITat\nsmIsmMDmNc3VYaUZKSUGik3W7unpQSqVwqlTpzA5OYk9e/bAaDTCarWW3E9QFKwCXHnllRgfH5/x\n/qOPPpr1miCIWQ+g2+3GV77yFezcuTPvEK/S5Of5LCT1YrVThx/duKrRm9H0VHKeyeVytLS0cLW+\nyk3WFgWrAG+88UbB/9lsNrjdbjgcDrjdblit1rzLhUIhXHPNNXj00UexcePGvMsIJTWnWWcJRepH\ntao1FJOszTruc79P6ILVEKf75s2bsXPnTgDAzp07cd11181YJpVK4U//9E9x22234cYbbyy4LqFU\na5iv0AyDn7w1iH/8737E03PfODI0g+d7x/D6cW8dtq6x7OodxR07P8apiUhV1ldIbNhE7Q0bNmDD\nhg3Q6/UYGRnB+++/j0OHDsHtdnPJ8WJqThls27YNN910E55++ml0dnZi165dAIDe3l48+eSTeOqp\np7Br1y6888478Pv9eOaZZwAAzzzzDNauXZu1LqFUa5ivwhiKZ/DKYQ8YhsENa+1Y6Zi98t4xdxhP\n7TkLCUHgwkWmGU1c5xO/OzKO4+4weoemsNiqrUsuYW6ydigUwsTEBAYHByGRSBCPxxGLxaDX65tS\nkOaiIWeL2WzGm2++OeP99evX46mnngIA3Hrrrbj11lvnXFc1Cvg1a7hBM38Pi1Etw/2XdSGUoLDM\nNnfw6WKLBhcvMsGqU0AzS3BpI4inKOz88CyWWrW4fLml4vX93dXL8NHZKVy7xs69V8/fhyAIGAwG\nGAwGLll73759OHXqFBe/OFuydjMi+NtbNYaE9WI+WlgAcM3q4mcH1XIJ/qEKoQ+1YN9gAL/8cBhq\nuQSXLWut+NxYatNiKU/EG935WalUQi6XY+3atSAIoqhk7WZjXgiWUIaEIs3NuS4DLl3aipUOXU1+\nr2YqLzNbsjZFUbBYLFi5cmXTnbeiYAmk4qhIcdAMg9GpOFwmDUiytIvNqJbh/79+ZY22rHJqlfyc\nL1l7amqq6cQKaNAsYTURShOKelFPUQwlMrjvN0fx8H+dzPu9FM3gjT4fTnhKmyWrZB9e+GgcX3nm\nAJ54Z6DsddSKalhI9cglZBOymxHRwhJnCctmwB/D+6cnkaEYXLm8FRf3tGT9f+9gAN977RQ0Cgl2\n31N8gjUw+0XFlgtKJBJce3r2cXg0gkyaQiQWF3zMUS5s8vRCRhSseSYk9bxA1zh16Dar4Y2kkG/0\n1W1Wo92kLMknxC8t7fV6Z4gSRVFZ5YLY8kA6nQ4KhQLfWMRgsycEaWIKe/bs4Sp5mEymhotXM/iw\nhM6CF6x6Md+EEZjucLPztrXwRlJ561s5DEo8c9uncXOsGOWzjNiKruxx4osSWy6ILaI4G6lUCucv\ncUEi6eTKFo+NjeHYsWMwmUyw2WwN/R2aYUgoZOaFYImR7o1DLZdwYjWbGLGR1myde9YyMhqN3GtW\njCYmJhCLxdDV1VXRtuXOhE1OTsLj8SAajeLw4cOw2Wxc6eJ6UI2whoWO4AVLKMnPQhdGfgegdDqN\ngYEBTozYek1SqTRLjPR6PSwWCydGjbQOCILg8u8CgQBcLhc8Hg/6+/uh1Wpht9vR2tpaUuWDcrej\nXMQh4TwQLLEe1kxKPbEpisqyhvjPU6kUGIaBRCLhhIhhGGi1WpjNZiiVSshkwmrbRRAEV/WTTV/x\neDw4ffo0VCoV7HY7LBZLSfXWi6EaNywhHedasOAFC5hfFUdzYTsB5Q7R+DXvSZLkxEipVEKtVsNk\nMnGR0bkXSSAQgMVSeepKM5CbvhKJRDA+Po7BwUEoFArYbDZYrdaSuzzno1rVGhYy80KwFqoPi6Zp\nruEGX5AOHz7MNWplOwGxYqRSqWAymRraG7FZIQgCOp0OOp0OS5YsQTQaxfj4OHp7eyGTyWCz2epS\n7LEQ4pBwHgjWfPVh8VuT5XNks12j+b0R2eFZT08PVCqVKEYVotFo0NPTg56eHsRiMXg8HsTjcezf\nvx9WqxU2m23Ognl8xLCGyhG8YAkprIGFYRik0+m8PqNEIlEw1oj1GRVq1gpMN2wVxar6qNVqdHV1\nwe12Y82aNfB4PDh06BAYhoHVaoXdbodKtXBalzWKBS9Y1bawCsUahcNhRCIRLkcrd3q/lFij+U6z\nD9GVSiU6OzvR2dmJZDKJiYkJHDlyBBRFcZaXRqOZ8TnRwqocwV8Z9RasuWKNCIKYMb1vNBqh1Wox\nOTmJ5cuX1/yka/YLvhia9cLM3S6FQoH29na0t7cjlUphYmICfX19SKVSsFgssNls0Gq13OeEIljN\nevwFL1hSqbRqQ0KKogqKUaWxRqFQaM6GGwzD4L+PeiGVEPj88vLqMTXriTYfmOtGIJfL4XK54HK5\nkMlkMDExgVOnTiEej6O1tRWJRKLim8lC/30FL1jFWlhsrFHu1H40GkUkEsG+ffsgkUiyxKiasUbF\nfHZoMo7//T/TVQbWOHVwGIp36IrUh2LPAalUCqfTCafTiUwmA5/Ph/HxcQSDQc7nZTAYSjqn5oPl\nXCnzRrCGhoZgMBjyOrIBcDNqrBixsUYAMDQ0hHPOOafm2zrXCec0KHFRtxFSCYlWrbxm3yNSHuUe\nV7bOeiAQgNVqBUVRGB4expEjR9DS0gK73V5Ucrbow2qQYE1OTuLmm2/G4OAgurq6sGvXLk48cgmF\nQli5ciWuv/567Nixg3v/0KFDuPvuu5FIJODxePCd73wHDz30ECdKbLv6uWKN4vF41fevXORSsuLy\nwfU4oZtdEGt5DCr1QbEtuqxW64zkbKPRCLvdXrDGuhh42iDB2r59O6644gps27YN27dvx/bt22e0\nqmf57ne/i0suuWTG+ytWrMDbb78NgiDw2c9+Fs8++2xZ21JPJ+Z8OGGaBTaAk2EYMAzDxaUB0xMj\nUqm06qEd1U6tyU3ODgQCGB8fR19fHwwGQ92Ts4VAQwRr9+7deOuttwAAt99+Oy699NK8gvXRRx/B\n4/Hgj//4j9Hb25v1PzZVgqKopgprWAjUWuRpmgbDMNzvyorSbNvChoIQBMGlI7G1y2shXuUw23lG\nEARaWlrQ0tIChmEwNTWVlZxts9m4+LxKvl/oQ8qGCJbH44HD4QAA2O12eDyeGcvQNI2/+Zu/wbPP\nPjtrF2mSJCsSnGaNdK+EZhfgfNYR8Kn4yGQyDA0NcUGZSqUSJElys6zscrOJECt6fPGSSCQVC1c9\nBKNQcvbExATi8ThcLhesVmvJ8XqiYM3ClVdeifHx8RnvP/roo1mvC031P/7449i0aRNcLtes31ON\nH6DZL/BSaPQJyRcj9pE/XOPD/vYSiYSzhgiCgMVigclkwsTEBE6ePAlg+sZmtVohlxc3GcHeyGia\nRjwe5/7Y0IJ0Ol2ygDXiPOEnZyeTSbS2tiIajWL//v2Qy+XccSkmOVsUrFmYzSqy2Wxwu91wOBxw\nu915C95/8MEHePfdd/H4448jEokglUpBq9Vi+/btVd3OZvBhjYeSODgSwiWLW6BusuaiufCHa3xR\nygcrSKwlwAoS+3w2+DFNiUQC4+PjOHjwIGQyGXeRkiTJzQYnEglOkPizwzKZDEqlkvvT6XTo6OgA\nRVHIZDIgSZITrmLEq9FDMo1GA4fDgcWLF3PJ2R999BGkUilXWaJQX0FRsMpk8+bN2LlzJ7Zt24ad\nO3fiuuuum7HMr371K+75M888g97e3qqLFdAcPqx/fv009g9NYfyidtyxsb3i9VWyP6wgsevJZx1p\ntVocOnSIcwqzAbPsX7X8RTRNc0Ikk8lgNpsRDodx6tQpHDt2DCRJQq1WQ6fTQaZQ4RcHg1DIpPib\nK5dDo1LOeXHSNA2appHJZLgZvNnEq9H1rHIFJ19y9sGDB0EQBGw224zkbFGwymTbtm246aab8PTT\nT6OzsxO7du0CAPT29uLJJ5/k2tXXi0b7sC7oMuJsII5z2/RV+Z5C5PqO2OeF1lPIOlqzZg1isRjc\nbjc++eQTaLVaOBwOtLS0lHRBsAng+SwktjROrnXE+rSkUinC4TDcbjcmJycRJTPYMxQBSZK4MwVo\n1XNvB1+YcsVLIpFkDVX5x6Vcail4arUa3d3d6O7u5kJ9+MnZNpttXuSoNmQPzGYz3nzzzRnvr1+/\nPq9Y3XHHHbjjjjtqsi3NcMe5eZ0TN69zVrwe/nAtk8nMcGbz4VtDpTizWdRqNXp6erBo0SIEg0G4\n3W6cPHkSZrMZDocDWq2Wa8XFF6J4PM4N16RSKSdGKpWKyypQKpVFlSrW6/XQ6/VcvfYbfCkkE3FE\nPGcRIh3Q6Yrv1pNPvNLpdJZ4VSMFrB6Cly85+9ixY0ilUshkMohGo3mTs6u1nbVE+JJbIUKZJczn\nzM63Pp1Oh6NHj8Jms8FisXCBs6WIUbHbw7eO5HI5dDod/H4/RkdHQdM0lEol9Ho9tFotlEoljEYj\nl2lQzQuCIKbrtf/VNWbQNA2/34/BwUHEYjFYLBbY7fY5L1A+rHgxDINkMolIJIJEIoFIJMLdEMoZ\n+lajCUWpx42fnB0Oh3Ho0CH09fUhmUxyx4afnN3siIJVR8Gajdzh2lwxO/wLhi9Iy5YtQzKZhNvt\nxpEjR6BSqeB0OmE2m0s6KdmqFHzriP1jL1i+daTT6bgkcJlMhkwmA4/Hg/HxcaTTae7CqPWwhCRJ\nWCwWWCwWZDIZeL1enDx5Eul0eoZfhy2SyO4j/5FNdpfJZFCpVFAqldBoNLDb7VwHINbnVax4Nbq8\njFQqhUqlwvnnn583Odtms0Gv1ze1eC14waoX7DCDnV0rNNUPYMYwrVRntkKhQFdXFzo7OxEKhTA2\nNob+/n60trbC6XRCrVYjnU7PGKqxs2vsMIi9UJVKJUwmE/e6mOGaTCbjZvlisRhXarhcf1c5SCQS\nrjZ9JBLhLC+apiGRSLiaZOx+seWjVSpV3lr2fPjDRqB08WoEfMHjJ2dTFAWv14vBwUFEIhGYzWa0\nt7ejpaVljjXWnwUvWNW4aIpxZhMEgVQqhb6+PjidTu5OVqvhGjvdH4/Huc7IPp8Pw8PDAMAN19Rq\nNVQqFfR6PTdcq/YFp1arsWjRInR3dyMUCs3wd+l0urLWy+5nPguJLZvNFySHw4Hu7m4QBAG/3w+v\n1wuCIGA0GmG1Wktq8VXI58X+jz9ZwdJoC6vQ5yUSCex2O+x2O2iahs/nQyKRKPt7asm8EKxaD+lm\ny1vLZTZn9saNGxEIBDA6OorTp0/D4XDAbrcXHQzJQlHUjKEa+5odrvGbTmg0GpjNZqhUKshkMm7I\nyGYYGI1GGI3Gmls8/CBI9sI4c+YMEokEbDYb7HZ71jQ8P6wh97HQsJQ/izjb/uj1enR3d3OxTPv3\n7+eGfGazuSTRZsWLPU9qlRpUj+RnkiRLFu96Mi8EqxLKyVvLjcwGireO2HyxdDoNt9uNAwcOQK1W\no62tjatYwZ/uzxUmfo9A9o/N8ud3T54NpVKJ7u5udHV1IRgMYmxsDCdOnIDVaoXD4YBarS5qXyqB\nrVqg0WgQDofh9XoxPDzMDdfYP74gGQyGkvazGNhYpkWLFiEUCmF8fBynTp3ivquYsi/8fWIfWfFi\ni0KyDUUaXcCvmf1TxTAvBKuU2KN8JwxBEDh58iScTie0Wm3ZU/3FwM48scGQFosFoVAIR44cQTqd\n5py8arU6y3JQqVRVH66xwyGj0QiKojAxMYHjx4+DYRg4nc6y8tX45Dru88VZscM1k8kEh8MBgiAQ\nCATg8/mgUqk4f1et/UJ8649fOeHEiRMwm82w2+0FwyT4vym7n+xzdpjIFoRkGAaJRKIsy6sRs4zN\nxrwQrEwmM6czu5ADmyAIXHDBBfD5fBgaGgJFUWhra4PNZivrImHvqPmso3x+FbVazcUfkSQJj8eD\nsbExpNNpWK1WtLaWVyq5VCQSCRwOBxwOB+LxONxuN/bv3w+9Xg+n05l3yMhagvkEKddxz8ZZsa9n\nO7Zmsxk9PT2cv6u/vx8tLS3cDaUeQ1fWEqZpGl6vF6dPn0YsFuNCNNhhOV+QVCoVNwRvbW2FSqWa\nMTQtlJRdTF5jo31gzQBRomo3ZZbw8uXL4XA4sHXrVlx99dXcnasc6ygej2N0dBRerxetra1wuVxc\n+yZ+R5x8wZC50dn8WTZ2ur9YwuEwRkdHuSqVTqezrm2k2Cl/r9eL8fFxxGIxboaQvUjZaXL+vtbC\nEmRjq9xuN+LxeF5/V8WHWjsAABl9SURBVCXwwxtyxZcNb2A7GlEUhWg0CpqmYbfb4XA4yv5d+OJV\nTGrQvn37cN5555XdhToYDGJ4eBirV6+ec1mJRFLvyPiilHReCBYA9Pf34/HHH8ebb76JG264Abff\nfnvepOrZYE37RCKBWCwGv9+PQCAAmqYhlUq5v1whKsZqKBd2qDY6OgqSJNHW1gaLxVLxd5UagySX\nyxGPxxEIBLjtaIRzNp1Oc/FdBEHA4XDMOXRl95U/XMsVJLlczllI7G/KTlLks0rYDjnsdrAxXuWK\nCTvTyLot8onXvn37cP7555ctJFNTUxgdHcWqVavmXFYUrDoRjUbxq1/9Cj/72c+wZMkS3HPPPVi/\nfj0Igpgx68S3kPjDtVwhomkaHo8HU1NTsNlsaGtrK5gRX+t9Gxsbg8/ng9lsRltbW8EI7nx+FfaR\ntZDYizTXQporBikWi2FsbAxerxcGgwFOp7PkhgrVgB26ejweqNVqGI1GyOVybr/54iuXy7OEiC/E\nlW43W01iYmICMpkMDocDFoulbDHPJ15SqRT79+/H+vXryxaSQCAAt9uNlStXzrmsVCqt981oYQoW\ni9frxf333493330XqVQKOp0OTz75JBd3lCtKc02DA9PWzvj4OEZHR6FUKuFyuUqaRaoWNE1jYmIC\nw8PDyGQyMBgMWRdqPl8Z/7HSDkAsbA7f2NgYotEobDYbHA5H1YZq/O/hB7ryH9mZN5IkQVEU0uk0\ndDodbDYbzGZz1dOAcvFFUnjs//bjHJceX/mjdi5Mwuv1lh0mwfpB4/E4YrEYYrEYEokEpqam8JnP\nfIb7/Uq1sicnJ+HxeLBixYo5lxUFq87EYjG899576OzshFQqxb//+7/jpZdewlVXXYWtW7eis7Oz\novUHg0GMjIwgHA7D6XTC4XCUPRzIR7ExSFKplGtXZjAY0N7eXpeYqlzYoZrb7eaiqIsdurK+wVwf\nEj9Rmj885VtIuYKU6+9iQzWqLaIsb/R58fDvTsColuF3f3FB1j6xYRKTk5MwGAxwOBwwGo0AkHd4\nyv62rB+Ubw2yli+77tkqShTC7/djYmJCFCyhkE6n8fLLL+OJJ56ATqfDXXfdhcsvv7wifxAbTzU2\nNgadTgeXywWDwTDn5/h30dzHQs57vjWYC8MwXOJxMpmE0+mE3W5vSEkR/tDVZDLB6XRCqVRmDdX4\nw3Lg00J7uX6kSiykdDqNiYkJuN3uov1dpRJPU3h+/yhW2LW4cNF0KkuuEz8ejyMYDCIcDiOdTkMq\nlUKj0UCr1XIW/2y/bT74w0aguNQgNrp/+fLlc65fFKwm49ChQ9ixYwf279+PW265BbfccktRQlMI\nNnZnZGQEiUSCa5SZr8RKbgxS7mOlJ0oymcTY2Bg8Hg90Oh3a2tpq7mPKF+IQj8cRiUS4Mi0ajQYm\nkwlarTbLQqpH7l08Hsf4+Dg8Hg9XtbOS+C52iJprIbEWId+Jz/8jSRJ+v5+beS2nmkQuxYqXz+eD\n3+/HsmVzt5ITBatJmZqawi9+8Qvs3LkT69evx9133z3ntG++8IZcQcpkMshkMlCr1WhtbYXRaKzp\nbGKh7WRTgWKxWFGpQIdGQwhEU7hkSXZ1B3bIlhsYmRtzlc9CIkkS6XQa4+PjcLvdkMvlcDqdDWlh\nxQ7V3G43AoEAWlpauHxG/v6ycVb59plhGG62OHefS7EI2WoSbEWLfFVCS2U28WJnvZcuXTrnekTB\nanJomsbrr7+On/zkJwiHw7j55pvR0dHBdS/JV3xurhgkhmHg8/kwMjICiqK4bieNyOZnh65utzsr\nFYi9uDKZDKbCUWzZeRhpisY3L2qBS00VDAJl/8qxkCKRCMbGxuD3+7mA0HIToMuFbU7BdqNJJpNZ\nM4asBZzPb1aL3y+VSsHj8cDj8VQtTIJ9ZJ97vV4kEglRsOYT99xzD95//31Eo1GYTCZcfvnl+NKX\nvgS73V6RTyUej2NkZAQ+nw8WiwVtbW11DQTlWwyBQAB+vx+JRIKLt5HJZJArFPjZJ3EEEgweubob\njhZdTS1C1kE+NjaGZDLJVQwoNRk8H/yYOv7QjZ1FZSct+PFWsVgMk5OTIAgCdru9YWWF+ULKdsYp\nJkyC/xuzM4y5ExdtbW3crOVsqUGiYAmQeDyO559/Hj/96U/R0dGBe+65Bxs3bqzIF8TGdI2OjkIi\nkcDlclUl/YbvxM8dpvJ9ZrnhDWzDTvZkrlcqUC6pVIobMiqVSq7oYKELKndmkf/Hj07PZxXOZbXw\n/V1qtRoOh6Pk0IRqEYlEMD4+Dp/Pl5XGlSvEbNJ4Pr8Z/ybLT8pmU3XyiZcoWAKGYRjs3bsXP/nJ\nT9Df34877rgDN910U8VVDSKRCEZGRhAIBGC32+F0OgsGpOabVcwVpHyBkcU68RudCsSHLTo4OTnJ\n1W0HkLXPwMyZRf70f7XizPiNLgr5u6pJrjOfL8KsyGQyGS5fsbW1FWq1uixxyU0N4uc1yuVyUbDm\nAx6PBz/72c+wa9cuXHbZZbjrrruwaNGiitaZyWQwNjaG0dFRSKVS6PV6kCSZN8whn0+lmidWrVKB\n8sGPNcudcWP3mSAIbkjT2trKRffX29rhx3fFYjEun7FUUc+3z2xgaCFnvlqtzgr2ZSdT3G43QqHQ\nnNUkZoOtHjE4OIiBgQGcOXMGg4ODsNls+Pu///uS1lUhomDVkkwmg927d+OJJ56ATCbDXXfdhS98\n4QsFL6TcEzVf0T3WXxSLxbhZo/b29poFPc5FKalA+eCnB+X+8fc532xbrgizRQfHx8eh0WjgdDrr\nUmY5H/x69QCy/F1sVD7rPyrkO+PHX1XizGcLIc4WJsFmRgwMDGBgYABDQ0Pc80gkAoVCgc7OTixa\ntIirDbZs2TK0t1feI7MERMGqF8eOHcOPf/xjvPPOO7jkkkvgdDpx/vnnw2azcSfqbBZSPsduOp3G\n2NgY3G43dDod2tvbuaFRvWFLrLDdcJxOJ1d+p9AQJl/ZFf5fuc5sNixhbGwMU1NTsFgscDgcFcUx\nlQrfuR0KheD3+xGNRgEgq55Z7j5XMxOCD3tjOHPmDIaHhzE8PIx/+Zd/4XxXEokEVquVK1PNClNP\nT09DckALIApWPbn++uu50iOpVApr1qzBl770Jaxdu7aimSY2X29kZATJZBJtbW2w2+118y/kOrbD\n4TCCwSA3w6hWq7lA0NyLs9YXAts8YWxsDBRFcUJa6czeXJYhfwKD/8dOHExOTnIFCavVhYa1pNhh\nG2slDQ4OIhQKcVYSK0hmsxl9fX2IRCLYvn17s4jSbIiC1SgYhsHvf/977NixAz6fD1u3bsX1119f\n8XR9IpHgIthbWlrgcrkqtixyZxdzA2ALzTzJ5XJMTk42RSoQMH1s2MoNWq0WTqdz1sR0Vohzh265\nM4y5llIxNwqapjE5OQm3280lhc/l72JFcmhoiPMnsY+jo6OgKAqtra3o6emZYSU1Ine0BswPwXr1\n1Vdx3333gaIo3Hnnndi2bVve5V566SXceOONXAmOZuHs2bN48skn8Z//+Z+49tprsXXrVjidlXV5\nZu+2IyMjYBgGLperoGOcdaqWkmjLvi7Wp8L3L9UrFagQDMMgGAxidHQUU1NTXCNXvqVYyLldzRlG\nFrb/n9vtBk3TePfdd3HuuefC5/NlCVMwGIRcLs+yklhB6ujoKKqaiMARvmBRFIWlS5fi9ddfh8vl\nwoYNG/D888/PqOcTDodxzTXXIJVKYceOHU0lWCyJRAK7du3Cv/3bv8Fms+Gee+7BxRdfXPFJGI1G\ncfbsWfj9fi6Zlr040+k010Enn2O72tZQOalAlXzXbP4zdr/ZiHaSJGG32+FyuWrqS0qlUjOspMHB\nQYyMjHCTCX19fejo6MADDzzAObkbNYHQRAhfsD744AM8/PDDeO211wAA3/ve9wAA3/rWt7KWu//+\n+/H5z38e3//+9/GDH/ygKQWLT29vL3bs2IEjR47gtttuw5YtW6DVagsuX0yirVKpRCaTQTgchkwm\nQ0dHR8PSgNhtni0VqBjY4So77c8O3/hxWPypf3b2LZ81Eo/HMTY2homJCej1+rKtQHa4x86y8YUp\nEAjktZIWLVqErq4ubrsYhsHo6Oj/a+9eY5q8wjiA/9GGTUAuchHTqlgKyFiY20BYsmFHgTFcWLYh\nTmcgEYZhmM0sw5E4/GCG4i58AqYZKMoyhW1BTDbIxAiaea1i8LKJERAowkZRbpm2lLMP7n3TWi4v\nhZa++PwSEoFj31OXPT3nPM85BzKZbErPnuME/Yew60soNBqNSWpVJpPhwoULJm2uXLmCjo4OrF27\nFl9//bWtu2iRsLAwlJWVobe3FyUlJVCpVHj++ecRHh4OV1dXhIWFjbnR1vi6q4m2CQ0ODqKzsxOt\nra3w9fWFVCq1yihnIlzQXLp0KQYGBqDRaNDc3IzFixfzBbJCFreNSwC8vb0t3r+4YMECPnhwp2r8\n9ddfZocOciO39vZ2tLW18XVJ3ChJr9dj0aJFfMYtKCgICQkJ8Pf3FzxKcnBwoGBlIbsOWJMZHR3F\np59+irKystnuikW8vLywcOFCuLi4oKurCxUVFfD29oa7uzuioqLg5ORk0Qhp4cKFCA4OxsjICLq7\nu/m7D2Uymc0XaLnAw90iw10XDzwOas7OzvwoibsIdTplD5NxcHCAh4cHGGNoaWlBU1MTvv/+e9TU\n1PBnqD/zzDNYtmwZ5HI55HI54uPj+VGSLbKfZHyinhL29/fD39+fn051d3dj0aJFOH78uN1PC8fT\n3NyMoqIinDp1CsnJyUhJSYGXl9e0XpNbiO7s7MTw8DCf0ZuJtRzj6+KNp27jZRm5qZtOp0NXV5dV\ntgJxo6SOjg5+ysZN2zo6OqDX6+Hh4WFSl+To6Ijz589j9erVWL9+/Yz0g0yJ+NewRkZGEBgYiJMn\nT0IqlSI8PBw//vjjuLd+KJVKfPPNN+jt7Z0ws1hQUICSkhJIJBJ4e3vjwIED0z4yeaYNDQ2hvLwc\npaWlCA4OxpYtW/DSSy9N+3W5QNHd3Q1XV1fIZLIJC1K5vWtjVW5zi9vcnsUnT88UUgLAbQXq6uqC\ng4OD4K1AjDE8ePCAn7IZL3BrtVpIJBIsXboUK1as4LNtcrkcy5cvt/o578Qi4g9YAPDbb79h27Zt\nMBgM2Lx5M3bs2IGdO3ciLCwMiYmJJm2VSiX27t2LjRs3TphZPHXqFCIiIuDk5ITvvvsO9fX1qKio\nsPVbE4QxhtOnT6OwsBAajQabN2/Gu+++O+3tOk8WpHp7e8PZ2dlkTYlbQzNe3LZmcajxViDgcTLB\nw8PDrC6pvb0der0ebm5u/LTNuAxgNg4GJNM2NwLWVAnNLHIaGxuxdetW/PHHHzbro6U0Gg3279+P\nqqoqxMfHIz09XdB+r7HOGOemcAaDAcDjqR13u5Cvry88PDysfjoqN1XlghE3Wmpvb4dEIsGff/6J\noaEhKJVKREVFQaFQ8GtJNEqac8SfJbSEkMyisdLSUrz55pu26Nq0SaVS7Nq1C1988QV++eUXfPjh\nh3B3d0dGRgZefvllvhbLOCiNdca4i4sLn3EzXtw2Lkjt7u6esCBVCMYYDAaDyVqS8ShJp9PB1dWV\nn7bJ5XJER0dDoVDwz21vbxd8SiaZ++ZcwJqKH374AWq1Gg0NDbPdlSlxdHTEhg0b0NPTg4MHDyI1\nNRWurq549dVX8cknn8Dd3R2urq5TPiF13rx58PHxgY+PD4aHh6HRaNDS0gJvb2/IZLIxp6HcZmRu\nYdt4Lemff/7hDynkFreVSiXS0tLg5+eHZ599dtK+LVu2zKJ/IzI3zbmAJZVK0dHRwX/f2dkJqVRq\n1q6urg55eXloaGiYlVucZ8LGjRuRkZEBJycn3L9/HwcOHEB6ejoiIiKQkZEh6P658Tg7OyMwMJAv\njVCr1SgrK4OXlxccHR3R1taGu3fv8tNI40JJpVIJhUIxq4WrZG6ac2tYQjKLjY2NSEpKQm1tLQIC\nAvifT7Zv8dGjR0hJScHly5fh6emJiooK+Pn52eqtCTI6Oora2loUFRXh33//RXp6Ot56660J65q4\nkzXHqt7++++/MX/+fEilUvj4+ODWrVvQarWoqKiAQqHAggULaC2JzISnc9EdmDyzGBMTg2vXrmHJ\nkiUAHk87qqqqJt23WFxcjKamJuzbtw9Hjx5FVVWV3WYXAeDOnTsoLi7G77//jvfeew+xsbEYHBxE\nS0sLH5C4UZKzs7PZeUkKhYI/98qYXq+32n48MrNEdHiAsE897tprgV9z1tmzZ1lcXBz//e7du9nu\n3btN2sTFxbGzZ88yxhjT6/XM09OTjY6O2rSflhgeHmbFxcVMLpezrKwsVlBQwKqrq9m1a9fY0NCQ\nKN4DmbqRkREml8vZnTt32KNHj1hoaCi7ceOGWbuBgQH22muvsYiICHbp0qVZ6CljTGAMmnNrWJYS\nkl00biORSODm5gatVjvtSnRrc3JyQmZmJjIzM2e7K8SGLl68yJeCAMD777+P6upqs9NOcnNz8fnn\nn4tiLy6tiBIyC2praxEUFASFQoH8/Hyz3xcUFOC5555DaGgoVCoV7t69O+VnjPUhrNFoTNoYHx4g\nBhSw/icku2jcZmRkBP39/fD09LRpP4n4GQwGZGVloaamBjdv3sSRI0dw8+ZNkzYvvvgi1Go1mpqa\nkJSUhO3bt894P7jDA7799tsZf21roYD1v/DwcNy+fRutra3Q6XQ4evSo2dafxMREHDp0CADw888/\nIzo62ixD1tfXh9jYWAQEBCA2Nhb37983e9bVq1fxyiuvICQkBKGhoXa9cE9mnvFUzdHRkZ+qGXv9\n9df5ey8jIyPR2dk55edM9iE8ODiI69evQ6lUws/PD+fPn0diYiLUarWF78z6KGD9TyKRoLCwEG+8\n8QaCg4ORnJyMkJAQ7Ny5E8ePHwcApKWlQavVQqFQoKCgYMyhfH5+PlQqFW7fvg2VSjVmGycnJxw+\nfBg3btxAbW0ttm3bhgcPHlj9PRL7IGSqZszS3RiTfQi7ubnxRzW3tbUhMjLS/k86Ebo6z+Z4lnCm\nBAYGsq6uLsYYY11dXSwwMHDSvxMaGsqam5ut3TUyiZqaGhYYGMj8/f3Znj17zH7/8OFDlpyczPz9\n/dnq1atZa2urRc/56aefWFpaGv/94cOHWVZW1phty8vLWUREBHv48KFFz/r1119ZQEAAk8vl7Msv\nv2SMMZabm8uqq6vN2q5Zs8bus4QUsGaYm5sb/+fR0VGT78dy4cIFtnLlSmYwGKzdNTIBISUARUVF\nbMuWLYwxxo4cOcKSk5MtepaQEhrGGDtx4gRbuXIl6+npseg5IkMBy1pUKhULCQkx+zp27JhZgHJ3\ndx/3dbgR2Llz56zdZTIJW9bh6fV6tmLFCtbS0sIHx+vXr5u0uXLlCpPL5U/TyJvqsKylrq5u3N8t\nXrwY9+7dw5IlS3Dv3j34+PiM2W5gYABr165FXl4eIiMjrdVVIpAt6/CM10u53Rjceim3GyM7OxtD\nQ0NYt24dgMe7Mbi11KcZBawZxmUSc3JycOjQIbz99ttmbXQ6Hd555x2kpKQgKSlpFnopPn19fVi/\nfj3a2trg5+eHyspKeHh4mLS5evUqMjMzMTAwgPnz52PHjh12e9xxQkICEhISTH62a9cu/s8TfSg+\nzShLOMNycnJw4sQJBAQEoK6ujt+7pVarkZ6eDgCorKzE6dOnUVZWhlWrVmHVqlVoaGiYtByCMzAw\nAJlMhq1bt9rkPdkDa2dfqQ5PJITOHRmtYVlVdnY2n5nas2cP2759+7htP/74Y7Zhw4ZxM0tzkbWz\nr0LWlQoLC00W3detWzfFd0EmICgG0QjLTlRXVyM1NRUAkJqaimPHjo3Z7vLly+jp6UFcXJwtuzfr\nenp6+NM1fH190dPTM2H7ixcvQqfTwd/fX9Drz1QdHrEyoZGN0QjLqoSUQxgMBrZmzRrW0dHBDh48\nOOsjLK1Wy2JiYphCoWAxMTGsr69v3Lb9/f1MKpVO2GfKvj7VKEtob2JiYtDd3W3287y8PJPvHRwc\nxjwUr7i4GAkJCXZzazC3rpSTk4P8/Hzk5+dj7969Y7bNzc1FVFTUhK9H2VcyGQpYNjTd/yHPnTuH\nM2fOoLi4GENDQ9DpdHBxcZm1qUl1dTXq6+sBPJ7GctesPYmbxsbHx1u8T42yrwQATQntxWeffWay\n6J6dnT1he3uYEtpyGtvb28uio6OZQqFgKpWKabVaxhhjly5d4re5lJeXM4lEwl544QX+q7Gx0aLn\nEZujKaGY5OTkIDk5GaWlpVi+fDkqKysBPC6H2LdvH0pKSmalX/YyjfX09MTJkyfNfh4WFsb/22za\ntAmbNm2a1nOIfZuTZ7oT2wgKCkJ9fT0/jVUqlbh165ZJmw8++ABnzpzBvHnz+GnsRx99RBk28qSn\n9xIKYhvZ2dnw9PTkF937+vrw1Vdfjdu+rKwMarUahYWFNuwlEQlBAYvqsIjFhFT1EzKTaIRFCLEH\nNMIihMwtFLAIIaJBAYsQIhoUsAghokEBixAiGhSwCCGiQQGLECIaFLAIIaJBAYsQIhoUsAghokEB\nixAiGhSwCCGiQQGLECIaFLAIIaJBAYsQIhoUsAghokEBixAiGlO9NUfQqYCEEGINNMIihIgGBSxC\niGhQwCKEiAYFLEKIaFDAIoSIBgUsQohoUMAihIgGBSxCiGhQwCKEiAYFLEKIaPwHNcpiVK+J5rgA\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3f8b7d0110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RsAB+fNNKLGnSYMAbgS+SRIJiQTMMvv673ozPTIaTuKDNgHdO+/GDnQOgaAZb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\nBevbzdjR6wVJEJCQgFRCotO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tNBrhcDjy1lgXE0/rJFhbt27FVVddhS1btmDr1q3YunXr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\ngkUQhGD4H6WP5w09KIE7AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3f98650690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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QwG63IxgMwmAwoKmpCX6/Hz6fD8PDw0gkEtDr9WhqaoLJZCp5/NZiNMIHbD0RvWDVIq2B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\nwYRFRIrBhEVEivEfD4It0zup6B8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3f876b2f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 (-0.1694611712186425, 0.5825921777221892)\n",
      "3 (-0.2628166483508216, 0.5641037192609575)\n",
      "4 (-0.27953310001779486, 0.6531302498446571)\n",
      "5 (-0.28394889842580867, 0.6586980587906308)\n",
      "INFO:tensorflow:../data/OUT/raw_gan/raw_gan_with_vanilla_gan_loss/models.ckpt-5 is not in all_model_checkpoint_paths. Manually adding it.\n"
     ]
    },
    {
     "data": {
      "image/png": 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ZdME6Bfnzvk6+/dejJFUNh1lmVYWTcpcZj83AVavLWDnHxT2bl/KLrScwGUTO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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3f876bc650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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h9/tnbB6bTqfD5XKlSq0cPHiQgoICgsEgHR0dRCIRrFZrygobr+ywYmHNLXkvWJnOJTyT\nePlYPw3tQWrrpLQpNcn4TywWo8cX4hd7TiHJcGGJTKUlXZR6gyLf+TCKWgX/vMGK3axPEyKj0Uhv\nby+1tbXodLopz+S/eqmThcVmyu3jWzWzeW4EQUiVT4HE8fH7/Xg8HhoaGhgcHMRkMqUEzGaz5Uwc\nLJuCmYvXR14L1kzEsPLxjiXL8ojO0gOBCN9/p414XGLxewdYaEu4R+G4REyEAqMGnU6HRqPhlhUW\nQqKKxS4LRkO6IPUHYliOHcSgUbFm9UqMo+ReNTc3YzQax93GU94wnmCM5fOsae8LgkDtOImsc4Eg\nCKkKBfPnz08Vu/N4PLS3t+Pz+dBoNDgcDkKh0IT7PpvMtYU31+S1YJ0pMSxZlsd98pX8Ox6Pp7ZX\no9GkuV8GrZbr6wpocw/ysZULsZkNoFJz9/8cxBOM8b3PLKW6yATA0qVjb4vTqudnn12DWiUQjUvo\n1CrUk6zykCQmStz33CFCMYlvfXIpK8qsE39ohpipagjJYnfJOlHRaBSPx0N/fz+NjY20tLRgt9tT\ngfxsxsEUwcpTcjWGJUnSqALU1NQ0QoCS2zFUgJK/LRZLWjxIo9GMO1jvKSzk5MmTFDsS9atiokQk\nLiHJMjFx8vtp0Wv44KSHh357gguq7fx/n6ib0v6rVQKlNj2d3gh2U14PsRQ6nY6SkhL8fj82m43C\nwkK8Xi8ej4e2tjai0ShWq5XCwkLsdvu0229NRC7cYOeSvB5N2cp0T8Z/xrN+kgFoSAjQ8OBz0u0Y\n+p5arZ7xQT10QGvVKv7r1pUMRuNU2KfmxgyGRSQZBkJTvyGoBIHHtqxAlORplaeZ7Ysy0zZfkLBw\ni4qKKCoqAhI3qWQcrL6+nkAggNlsxm63U1hYiNVqnZE4mOIS5jHTKeA3NAAdCoWIRqOcOnVqVAFK\nrlulUo2wfrRaLWazeYQAjUVPTw/FxcUZ7e9EjDaQ7SYtdpN2yuu6oq6ICoeBcrsBWZZ5p8GN3aRl\n1SSrj6oEAZX67LmwVCpVKpBfXV2NLMsEg0E8Hg+tra34fD50Oh3hcJi+vj7sdvu0Gz4ogpWnJF3C\ngYEBtFrtmHGgaDSaFv9Rq9UpFysejyOKInq9HqvVmiZKufJkaCaQZJndLV6qi4y4rPoJlxcEgbqS\nRLXRw6f8fOPlBtQqgV984dzZ3tSMmOzFPNuJo8l29GazmYqKCgAikQh/+tOf6O3tTTVETcbBHA4H\nev3E50WxsLLAyy+/zP33348oitx9991s3bo17f/f+c53ePzxx9FoNDidTp588knmz58/5vpef/11\nHnjgAaLRKG63m7/6q7/iK1/5Spr1YzKZKCgoSBOg4SdakiT27NmT1pk63xnLnXrjeD/bXm2gqtDI\nk7etTr0/GIkTiUsUmcfOeSq3G5hfaMRl1WHQ5r+Iz1UcSK9PPJFdevqpR/Jmm7TCYrEYNpstJWAm\nk2nEmFViWLOMKIrce++9vPbaa1RUVLB+/Xo2b97MsmUfJQ2uXbuW3bt3YzKZ+OEPf8iXv/xlnnvu\nuTHXefnll7N79246Ozu566670vocns2Md+ctK9Cj16hZVGxKvdcfiPKXPz9IOC7xgy0rqHSMHuey\nm7T8+M9Xzfj25iMzaeFoNBqKi4tToQJJkvD5fHg8Ho4fP04wGMRsNqcEzGq15kSJ5blk1gVr586d\nLFq0iIULFwJwyy238NJLL6UJ1uWXX576+4ILLuCZZ54Zd53JWJFSwG9yDEbiHO8J8L1PL2NBsYk2\nT4gDHT4ef6+VtoEIJdapZ5THJZlDp/zUOk2Y9XkdWcgZVCoVdrsdu93OggULkGWZQCCAx+OhpaUF\nv99PKBSiubmZoqKinGvBlQ1mfaR1dHSkuVwVFRV88MEHYy7/xBNPcO21105q3Uqmezq+cJwT7jjL\nZRnVkH176UA3P3i7hVXlVn54y0r+6aVjtA+E0agESq06/v2mZWNaV2Pxwp5OHt/RyoaFDh6eYtrD\nXDOX9bCm+j3JvoHJa+j999/HbDbT3d3NiRMnEAQhLQ420XSmfI+B5dSt8ZlnnmH37t289dZbk1o+\n3wr4zfZgeeS1k+xvG0RX2MP1K0tS759TWUCN08TGuoTrsbaygHBc4p4NVZh06lFLKEuyjCcYo9A0\n+uRjp0WHWhAomUQAfzrk6kU11xa5IAiUlpamElrj8Tgej4eBgQFaWlqIx+NpcTCj0Zh2LBXBmoDy\n8nLa2tpSr9vb21MHeyivv/46jzzyCG+99daknpZA5omjZxrzbHoOCgkxGcrSUgs/vWNN6vU/bFyI\nLMvc+pO9eENxvnF9HedWFaR95sfvtfLi3i6+eEkVn1ozb8R3XbmkmAsX2DHpzi6XZK4ZLjjJB1VO\npxNIxMG8Xi8DAwMcO3aMYDCIxWIZU8DGIxeFbdYFa/369dTX19Pc3Ex5eTnbt28fESTfu3cv99xz\nDy+//HJqRv1kyKd6WMl42WwOgr+9tJIrXSHWD2tCMRYuq57BiEiBceQw8IUSaSC+8Ng3hHyNXc11\nm69MGe/7VSpVSpyGxsHcbjcnT57E5/MRiURobGxMFTjMpzjYrI84jUbDY489xjXXXIMoitx5550s\nX76chx56iHXr1rF582b+8R//kcHBQT796U8DUFVVxa9//esJ151vLuFso1KpmKzBIwgC/3HTMqKi\nNOoE5/svX8AnVpbk3ETlyTDZPKl8ZKpiOzQOVlVVRTQaZc+ePZhMJrq6ujh27FiayNnt9pxrTz+U\nrNwiN23axKZNm9Lee/jhh1N/v/7669Nabz4JVi4+kVSrBIyq0RVOoxbYeXKA95rcfP6CyilPgM6E\nXDtOQ8l1C2syaDQa5s2bx7x5CVc/Foul8sGam5sRRZGCggJcLlcq6TVXyE+b/jQqlSrjRqoKo9Pl\ni/DMrg5kYGNdMQuKPsrfikky9z53iFBU5NFPL8dqyL9hNNeiM1eMJrharTYtDiaKIj6fLyeNgfwb\naUPIp0GXbQurPxDlB2+3cN78Aq5ZNvm4YJJSm57PnDOPuCRT5TDS5Qvz7debuGihg4I4NPUFkZFx\nB2N5J1iZnod8GnfDmcy+J2vg5+LUtPwaaQrjMlQU/9Q8wCtHejnQ4ZuWYKkEgS9sqEq9fuNEP+82\nemjzhPjSKoF/2byYNk+YSkd+1UPPlFx2VydDLri0maAIVpbItoV1cY2DT64uYUWZlf94o4m6Egub\nlo8tXN5QDJ1GNWoAHuB3h3pQCZxeRxe/OdjNOw1u4pI0atrDXJGNY5zPF3y+C1bu2XwKGZG8YAuM\nWv7hyhqMOg0vHejme2+eRJZlInGJbl8k7TOt7hC3Pb2Pv3j2IDFRGrG+492DzLPpKTTruOB0yoRR\nqwZBGFPgcpmZqIeV7c/OFIpgKUyKbFhYyYH4Vn0/T/2pjUhc4pxKG5uWu/jLS6po84S57Sd7uf3p\nvexuHSAuJbYnJkpEYiL9geiIvKu36t389fOHCUZFfvmFc3FZ9fzLB2FaPSHuuaiS490BBiNK8m6+\nkO+CpbiEWSJbg0SSZf71lUYicZHFLjMXLSzky1fVAPBX2w/S0BfErFPx8uFevvrr43z5qhqWz7MQ\nE2V6/GH+7sUj/PSzH2XFWwxqYqJE+0CYvkCUwYjIQBSifUGa+0P4wnEWu8y8erQXg1bF16+vm1aV\n0eHk6kWVqXWWC/uVC9swXRTByiLZcAlUgsCt6+ZR3xsc0bFmY10xvnCcKxYX8eLeLnp8EX5zsJt5\nNh1mvQZvOD7iid+6KjuLS8zsb/fz+0M93L2hiruWa1m/Zhn1vQFePdLL/+zqoMMbRq9R4Q3FKbZk\nlng40XEa2rZ+6E8kEiESiWA2m3G5XNhstlEvzlwRjrkgF9zSTFAEK0tk6wKRZZnPXpCY2f/8h6d4\nYW8nd19YwTXLS7hp7Tw21hVz60/2csobRpLhj8f72d06wC+/sA5ZhkLzR+WUQzGRjoEwpVYdHocB\nBPjJn9p4uSnO+jXwiRUlfNjqZWfLAOuq7Nx+fnlGYpUUocHBQYLBIO3t7SNEaXjV2KE/drsdQUj0\nWUyWJTaZTKna66MVxJvO8c1nC2sq2zDX2zoaimBlkWzFsJI8/UE7bZ4w//JaExuXOpFl0GkElpVa\ncJg0NPUFCUQl4qLMnjYvHx+S/tDSH+QLzx6gyxcFwKhV8d/vtqJWCUiixI5GD5UOI3ddVMl8h5Fr\nljmZVzAyxUGSpDQLaLgARaPREbXzk23Pko07dDodbzX7OdAb4N5LF4xboz4Wi6HT6aisrEzVVe/v\n7+fEiRMEg0FsNhvhcJhoNDonLernWgRyQTQzQRGsM5h/vKqGR99oZlW5lRt+tJu+wSg2o4Yis46f\nfXYNgYjI7w/38PiOVr71ehOt7hDXLHPx890dPPfhKeKnHxhqVLCizMLeNj/RuMQ5Tni3sZ8X9p7i\n61dXcPV8NRFPFye6EwJ0vDfIy01R9GqBP1uqw2LUp6wgvV6PxWJJs4yGT771eDz09fWlVfX4yQcn\n6B2Mcu58Bx9f5hx3v5MX5NC66lVVVamKngcOHODIkSPIsozD4aCoqAiHwzHpphBz8YRxplAEa47J\nl4OfrTysod9xWW0Rl9UWccOPdtHqCQMQiUXpHYzxxvF+rlnm5MbVpRzu9HPSHeLJHW0c7/TR6gkh\nSWDUQDieeJTcN+DHoJYJxGEwIuMe9BGIQXuvlxKjDUmjp2NQgySYeXSfD19IwqhT0bBL4i8udvKp\nJZnlat17aTV727xcuMA+7XUkK3qaTCZWrlyJRqNJNUdtaGhApVKl3MeCgoJRM73zPUteEaw5Jhfu\nWrnCaA0LYrEYF1ZbkSSJ+XYNwYhIizdGbKCTffs6iMVi3FAqc0Iv8XMf2NVh3vWE0WkE7AaBzkEJ\nETgVAIteyyW1dpYZBvju/jhRUaYppMc0qOfLvzxKfMipUAtQ6zRz0h3mQIefT62ZhzSsEmqSfe1e\nXtrfzWcvqEh1px7OxrriVAHCmUKtVqfVVI9Go/T399PR0cGRI0cwGo0pAZuJxqi5MFYVwToDyMZJ\nnCkLS5Zl4vH4qLGgSCRCIBBg165dqX3SaDRcX6nj5kVFqe5BGq0Oo0Gf1k3ogzeb6Qm18fzRUPKb\n6BxMbG+dy4LTouPDNi8S0BGQiZ7uJP3knzqw6bvSxArAoFXz5+vL0ahUnFNVwO8OdfPdN0/yFxuq\nuGlturX19AcdvN/kocii475LqzM+RhMx1vnW6XSpKgayLBMKhejr60s1RrXZbASDQaLR6Ix+bzbJ\nBdHMhLNesLJRWG8yjCVCw4PTgiCgVqvR6/VpcSCTyYRareYnewYIaAw8/Im6ST+xq+8Z5Gc72xmr\nVt951Xa+sKGKN0/0s35+Aa/s8KIS4HTeKb7IyFn9FXYdVy11piyqxr4gkbhEQ29wxLIbFxcRiop8\nYsXU5zzOFoIgYDKZqKqqoqqqKlHM0Ofj4MGDnDhxAkmSUvGvwsLCaTdFnQvmeqxnQv4c5THI5YM/\nNFcoEonQ1dWFIAhpIpQs4TGaCCWfkCV/Jpo9H43F+bBHRFAHaOwLUGzREYlLPLurg4XFJi6tLUot\nOxCM8uP3WlGrVfz+YA+h2Nh33rfq+5BlGatBQ4nNRcOAlBKrsTjREyIQETnWPciTO1opteq4aIGd\n0gI9MVFClGQaewP866tNNPUFMGjVtHrCY7qEc40gCBQUFGA2m6mrq0Ov1zMwMEBfXx+NjY2oVCoK\nCwtT3WzGin/N9XjNhW3IhLwXLEg8Op9uKYypumpDH9OP5ZYNFaGk2CRrz0/0hCwTNGoVX1ipw1pa\nzblVieD0h60D/PSDdvQaNZcsKkQlCLxV3883/lBPl39yrk1zf5hO7ykKjFquX1mCXT/x8dKq4ePf\n/wBZlgnHJOISyMAfj/fR5g5ysj9EQ28QicQFVOUwsshpQpZl/vPtDo53D/JoSRUlttlpcpEparU6\nFd8CUk19Ozs7OXr0KAaDIfV/i8WS9uRyLlEEa45JVh3NRLAkSRo3LpRsdQ8f5QoNd8eSpWV1Ot2o\n7sGRI0dwuVxYLJaM9ncoMVHiS788ykAoxqM3L8dmUFPrULNuSMec5fOsbKgppNZpSrlnj/5fc5pY\nqYCJyiDGJaiwG5BlmUsqtBzwmdjb4R9z+agIMVEkWag0KXHBmMxze7oAEAC7Sc2SUis1xSZKbXpk\nYGfbIKFonJPu4KwI1my0+dLMGh/uAAAgAElEQVTpdJSWllJaWgpAMBjE7XbT2NjI4OAgVqsVm802\n50XxFMGaY5KNKLTa9GTC5BOyiUQoGAyyd+/eEe6YwWBIc8k0Gk3OnehwTKK+N4AkyfQORrEZjCOs\nxQKjlm9cn943cOh+CEwsVpBonHqgw8fXfldPnTHO/o7whJ+RAbNejS88+kUqA56gSENPgIaeAK8e\n7aXYpOXvPlZKj9vP+vnTT2GYLSZrjZtMJkwmExUVFciyjN/vp7u7m8HBQXbs2IHdbk/Fv4aP3dlE\nEaxJ8vLLL3P//fcjiiJ33303W7duTft/JBLhjjvu4MMPP6SoqIjnnnuO6urqUdclyzJvvvkm3d3d\n+P1+vvSlL3HLLbdgsViIxWKpk6LVakdYQ0NdMq1Wy759+1ixYsWsD5rZyMOyGjR8+5NLCURFal3m\nSa///318EXf+bD9x+SPLZzLEpIRw/c/R+KREDiAwSkB+OO5gLGXl9QdifOUPbdy0xMy3Xmvi/sur\nUasEglGRAuNH50iUZJ58vw2NSuCzF1SMmi4xHsMv2sFwHJ1GhU4zsaU+1Qs+mbGv1Wrx+/2sWbOG\ngYEB+vv7aW5uBkjFv8ar9DlTT5mVqTkTIIoi9957L6+99hoVFRWsX7+ezZs3p7Wrf+KJJ3A4HDQ0\nNLB9+3YeeOABnnvuuVHXJwgCr7zyCoWFhajVai6++GJqa2txOBypx/STJRebQ0yFZcMmOE+GtZUF\n2E1a+gKxKX92d6t3SsuLkzy0QwVQFGVebgyg0US5drmT7791kvaBMN+5aRl1JQmXutUT4vk9nYDM\n1UudlNs/mmYTEyX+6aVDREWJ+y5dSI3TjGpIEw1Zlmn3hJAFFQuKzTT1Bfirn++nxKrnJ3eck7bs\ncGaiRVgyQF9YWEhtbS2xWAy32013dzfHjx9Hp9Ol4l9WqzU1nmfKOspFIZosWRGsnTt3smjRIhYu\nXAjALbfcwksvvZQmWC+99BJf+9rXALj55pu57777xj1B27ZtA+CVV17h6quvprCwcFrbli3Bmgth\njIkS33qtEUmGB66uQatWIckyb9e7qXIYpiVYU8WgEYjE5QktuaSFpVPDp1YU4tRLaCwOlpSYGYyK\nSDKET88V8oZifP0P9Vj0aq5d7mReQXqcq74nwO8OdiHJ8EGTh1vPK+eihUWsm5+YHD0Ylfna9oNI\nssyTd5xDKCoiijJdvgh9g1FcWQ70a7VaSkpKKClJxB5DoVDK+vL7/VgslpT7mCn57hJmpYBfR0cH\nlZWVqdcVFRV0dHSMuYxGo6GgoID+/v4J161Wq/Oic042BslwUez2R/i/ejdvNbjp9CaqjO5qGeCR\nl+vZf2rsgPlMEo3LmHUTD7PkGYyL8OoJL0d6I7zT4OaZnaf4/mdW8P0tK1hdbqN9IMRJd4j2gTDh\nmMSfrSsf4Q4ucplY5LKg1wiAzP/sbOcLz+zlhQ8TY06rBoteg1GrxqhVs7zMxu0XVBKIxPnKS4fH\n3c5sVGswGo1UVFSwevVqNmzYQE1NDaIocvToUfx+P4cPH6arq2taCaz57E3AGRR0ny7ZtHyyPVjK\nCwzcf3k1skyqWUSVw0iJTY8/EiMQnb3tSVpMEqBSCZi0AsFxcr0AqguNrK6w0dDt452WEAhhvKE4\nd15UiU6j4sW9p/jvd1tZ7DLztU21WPUaLKe7T8dEiY6BMM/uaue6VaXce9kC/vk3Ryky6+nwBAnF\nZf799QbOW+AgFJP46efORSWo0J8u8byy3IZBq6LSMbt5YNOJf1mtVqxWKxUVFezevZuysjL6+vpo\naWlBkqS0+NdEaTL5bmFlRbDKy8tpa2tLvW5vb0+biT90mYqKCuLxOF6vN5XjMh6ZNlPNpkuYDdKe\nAAoCn1hRgijJPL7jowD1bevL+drvTjC1kPvUGGrzqlUCf3dFDd99oxnPGE8MBeCmtaX8Yl8XkWic\nc+bpWVHl5IrT8we/9rsTfHByAEmW0KhVXLSwkBZ3iG++2kBzX5CT7hCeYJRQTObXB3v4xMoSQpE4\nJ0Px1LShgVCcv9l+ALc/yHeqfJy34KPxtbbSzu/vuwitevzzNFf14JMM7dIMiRkSbreb3t5eTpw4\ngVarTcW/RitgqAjWJFi/fj319fU0NzdTXl7O9u3befbZZ9OW2bx5M08//TQXXnghL774IldcccWk\nDmy+CBbMnTm+v8PHk++3odeouHqpkyKLDptRQyQeHTEHcKbQqxNyGBMhEpcw6zScv8DBy0f7gMTk\n6KEB+SUlJva1+ejxR5ln0bCp1kx9MCG0nb4IC4tN6LUqPr22jDfr3Tyxo41uf4QX93QSG5Z2H4hK\nPPdh54htEoCYJOEOw9b/PcrfbqzhqqUujLqEVTKZJ4SZkolYjDZ+NBoNLpcLlysxrSkcDuN2u2lp\nacHv96cKGBYXF2M0GhXBmtSXaDQ89thjXHPNNYiiyJ133sny5ct56KGHWLduHZs3b+auu+7i9ttv\nZ9GiRRQWFrJ9+/ZJrVutVqeSOhVGZ+fJAaJxCZdFx7wCPeV2A7+6Zz1f+uUR3mn0zMp3riyz0eoJ\nIyMzEIzxhyM9FAwpvyzKiYB8VJSRZDjWHaTFHUYGblxRyK9PuDna50WrAoNOzadWL+DLVy5kR3Oi\nN+LbDf3cc3EVL+3vGiFYYyEDfYNR7Dro9Yf52m+P0uOPcPfF1VPat7mysCYjNgaDgbKyMsrKypBl\nmUAgQH9/P8eOHSMUCqFWq7FYLESjUXS6zEpZzwVZi2Ft2rSJTZs2pb338MMPp/42GAy88MILU15v\nvsSw5jJ94vLFRRw65eemtfNSAWqTTs1Dm2q5538O0uQOTbCGyaMh4Q6e6BkkHE9UdRAAnUrgg5aB\n039DRILIEPNOBoKxhCP5ox2drCjRE42LxAQQVAKhqEibO8SVdcV4gjGa+4J0eRNlcIJTeNjpC4sk\nvT4pLqfSJCbLTKQ1ZOvzgiBgsViwWCzMnz8fSZJSlVf37duHKIppE7hncprYbJH3QXeVSpXRU8J8\nz8Mazmj7Uldi4bEtK0a8b9VriEoyxRYtVy4uZPue7oy/P2nrBqNSyt206lUcPOUnFJOQSYgVjB1B\nC8Thg46PeifKEZF/+OVRYqLMzefMw6hV8fvDvbxytJdgdOo3K0mGcruBuzdUc0nt1GtszfS0nmx9\nXqVSYTQasVgsqVjx0AKGQ+dH2my2jLZztsj7voSZWljZIheF0aBVs7rcysIiM1vOLUd/2vQQhvwM\nxTiF29vQ2Filw0CXP8pAaHque0yUiYiJXK7+QJTrVpRwSY2DcysLKDRpE27jJI2D+YUGio3w5asW\n0eoJct/2/fQPTj49YC4bqc50prtGo8HpdLJkyRIuvPBCVq9ejdFopK2tjffff5++vr6Mv2+myXsL\nK9MYVi4KSSZM9g7c1BekyKxl241LU+/98f4LkGWZw52D/GJvJ2/W9xMbYryq1QKPb1nOF//nEFNJ\nOV1bUcCRrpF1sCZikdNIS38obRu6fREe/b8mNi4uptSm58M2Lxq1iutXuPjNwR5C8Y8W1qggPsz4\nbnEn5kBufekI4ZiESiXwqQ4vV9SNXyd+psimSzjVdej1+rT4Vy7W+Mq9LZoiSgxr6uxt8/KVXx+n\n2JJoRpEkOVdvQ00hNU4Thzp9dPo+kqZwLNGi3qQD7xRyFv9wpI8ic/pUIL0axptmqAEGgnHUKiEV\nVJeBQ52DALzXNJCyAFUCvNvkZrHLTIs7wEA4oVLDxSpJ0o6UZCgyabho4eQzyOcyrWG2BWsoySlE\nuUbubdEUmYm0hrMNg1aNICRiWGNhN2rxBBPH1axTceMqFxvripBkgS+u1mEzqJkgZSnFQDCGO5CY\n4JycpjfRxSCS6IuYDMyP9lXy6R9RhlPeKPW9gzz5ZytwWXRpy2tVAudWFaBWJdajFkjFvmQJdDPQ\nqXoy5EJKQS5sQyac9YIF2cmPyiULa2mphZ9/fi2PfnrZmMvoNSo+vszJwiIjT9+xhosWFvKnZg/f\neLmexQ41nzu/Ap1GhUpIiIB2yDUw9HKoc5nQagT0GgGtRkWhSYtBI7BingXtkNGnFki9Tr4djUvo\n1KBTCyPEcbRLrsSmp8JhYNk8a1oHa1GWqbAbqC40oVN/FF8zaFR8+epF4052Hs5cXvDZtLBylbx3\nCfMpcTQbTHZfhpZqGQ1BEPj6kDpaNoMGk05Dty9Cw4CKfW5/IgYkgF6rQiMIxJJWy+nPqAS4e0MV\nbZ4wpTY9rx7t5fLFRWjVKj62qJCjXYOnM+6h2KLj0Ck/Fr2aIqOKloEYkgxqtYpITKLQpMEdHD9W\n2dof5m9/vodLFzmY73Dxi/3dIMtUFpm5c0M1i10Wrvnue6mWZ7euL+e6lZm1H5sK2U5rmK11zCV5\nL1hKDGv2eaehn8Odg1Q6DBzu9POD/XGuqNPgMGm4sq6YTl+E95s9GDQCC4pNdHrD2AwJQVxVbkt1\nlL5+SCVUgAsWOPjeZ1agUQsc7x7k2V2nWFFm4YU9nQjAFYts2PUq/vfIALHYR2Kl4aP0iaFIwM6u\nOO+f6k29Z9ZCNBbj1SPd3P6T3aligmadmt8e6EJG4J5Lqik0Tz6Jci4v+HwWm5kg7wVrJlxChfH5\n9utNeEJxvnhJFfU9ATwhif890AOAJxTny1fV8JP321hZbuW/3mnFqNXw4z9bRYFRg3lInEwURSKR\nSOonGo1CJEIgEsEZiXDfUpH+UD8H7VBhVfP5tWZCkob3WgNE4jImEmVmzHoN/aOUxjFqVZi0An2n\nY28qQK9R0+cL88Q7JwmnBeElfGGRFz/s4Ginn59+/txR912WZTq9EUptelSqzG46M2FhZYpiYc0x\n+eISZnuSdZcvzN42H5fWFmHSZZbBfMf55Tzxfjvff7OZwahEomhLgteO9XH9SidbN1YRjkQIDhai\nQSTY187A6XLUsVhCXJKdgZI/Op0Oq9Wa+jv5GP28Ff0MDAxQU1MDwHdsxTT0BvjROy0MRkQk6aNA\n/AXVBfzpZKKoYKXDyLbra3l61yl+fbAHjUrgS9cs5juvNxCR4uiFRHHAODKBaMJllZHGrRu/fXcH\nP3q7mU+tLeP+K2oyOo6Q22kN+YAiWHnsqo3HN19rYnfLAD3+CJ+9oHLE//3hOJIsjxvLkmWZaDTK\n5QvMPPGehPd0inpdAZzwfiRa/lNN1IeN6PV6PlaZEJ+hwpRpPfzl86wsn2flwgUOjFo1vz3UzQ/e\nbqHSYeSCBQ72tfupKjLw37euxKIFqyHh3qlVAtcsK2FHo4c/HO5GkmXK7QbaBhIxrEKTmluXGFld\nOMCRI0dwOp0jpqhET+dGRIfkSMxltQZFsPIcjUaTF5Ofsy2MFy6w0+4JEYiK/Gp/FzesKkkNVH84\nxud+tp94XOLbn5iPWS2mmnMkXbVk09Zmv8C3dwXRqQWMakCA8+apsFhMfNgxyFKXCWtZNWa7nu+8\ncZINNRaWlJh44BfHWFVu5VufXDblC2Ssi8plTVhCnzmnjCUlFmqcZoxaFcvmWakrseAwaYlGo9x3\n+QI8oRjLSm2Y9Ro+f1EV+9q9uKw6vr55Kf/75of8sllgMBrnV41xrr1gNXZ1lN7eXurr69Hr9Tid\nTlwuF7efX8nFi4qoKjRmfE4UlzBz8l6wMq04eqbVw5JlmWAwyFULjCyxufjb37QiyTLGYDfFujii\nKBKIyQRDMWQEPAMDGOyJDi8OhyNlHSXzpE7s6iAiNiIB9166gGPdg/ymoZfrVtr4z8+s5Mrvvc/9\nLxxJWVvvNnq4cZWLbl+Ut4MevKE4DtPMNvhQqwTWVhakXl+wwJH2f6tew7/fvDL1enmZjVf/5qJU\n+sK5JRqOhY282+Cmwxvm7QY3n79ofqr+WiAQoLe3l4MHDxKPxykqKiKgdVFQUMBcoriEZ4hg5YtL\nmMn3SJKUsn6GBq6T7yXjRMFgkKamJvR6PVatjg3VViQEzl++AIvJkIoTrVoTRZJknNbx65ffvHYe\noihTZNGyabmL3xzs5k+NfRRZdOi1KmJi+iRmGShzGLi8roi1FbaMxKrNHeQrvznOOZUF/N0VC6e9\nHiAt10qvEfjvP1/L375wkE5vmBvXpKc2mM1mzGYz1dXVxONx+vr6aGtr49ChQ6kO3kVFRVPutJQL\naQ35zlkvWHNNMk40VHyGilGybVmygevQ2JDJZBoRJ9q5cycrVnxUmeHr1aN/b9EkH+PrNSruuKAi\n9XrzqlJsg61cemEiLva588tpdoe5qq6QR15pJByX8YdF/vOmZcTHqFPV6Q2z9aVjLC21sPXqRWN+\n9/ffbmF/u5/j3QHuu7Qa7QxmpKtUAt/dsmrC5TQaTapBqizLvPvuu/j9fpqbm1Gr1TidTpxOJ2az\nOS/EJN9F74wQrFyc/CzLMvF4PCU8Pp8PWZbxer0j4kTJPolJ8bHZbGmNXadaA2m20avhWHeARU4T\nf7exhjZPiG+/3oRJq8ZmUHHLuWX822uNvFnv5pHNdZxTme5KNfcHafeE8QRj415AN6wqYU+bj48v\nK55RsZougiCgVqupra2ltraWcDhMX18fJ06cIBQKUVhYmArcjzb1KBcsLKUv4RwzF4mjSSEabg0l\nXye3R6vVpkRIluVUO/OkGOXi5NKh/HJfJ3843MsDV9ewyGlOvf+rhjgffnCILeeW8YUNVexo8vBe\nkwdJkvnCxZVUOIy0esJERYluX2TEes+vdvCVaxZR4TAgCAJxSebD1gFqnea0BM4LFxby6l+fn5V9\nnQ4Gg4GKigoqKiqQJAm3201PTw/Hjx/HZDKlrC+9/iO3O58EKxfJe8GayRjWeHGiSCSSsuSG5xMN\ntYr0ev2olRvb29tRqVRzHridCn843MuRrkE+bPWmCZZJe7qb8en5elcvdfKHwz009QUJRhMPQL7+\nicU09QdHWFeQCJpvXPJR4bzfHuzmu2+eZGWZlUc/vTzj7W5xB/nXVxrYWOfklvUViJLMj989iUYl\ncOdF80cs3+uP8PyHHWxc4mRJ6dQb00JiMndxcTHFxcWp0sS9vb3s378fSZIoLi5GpVJlbM0rgpXn\nTOYp4XhxIq/XiyRJtLa2olKpUtZPUnzMZnPqdab5RNnm26838qeTA3zzhiXUDBGcybL16hp2t3q5\nboUr7f1rqzXcd90aCk8H1B0mLRctdOAOxrjytBAVmnWTnu7itOiIidKE8xsny942L/vbvPjDcW5Z\nX8HJ/iA/39We2PYVJSOW/+XeUzy5o4VDp3z88M/WjPj/VBlamnjBggXEYjH6+vpobW0lEAgQDodx\nOp0UFRVNqeaUktaQ54IlyzLhcJiBgQH279+P0+kcIUjJE5QUneTvpEVkMBhShctmk2w9jRz6HXvb\nfLgDUU72h6YlWDVO86ifEwRhRND+gxYvA6EYLf0hVpdPrbyuOxhDkmUaeganvI3hmIhWrUI95Cng\nVUucBGMS51TaOdjh5cU9p7hkURHRuMj2Xe0cbgzxfPsB/vXG5Rh1ajYucXLolJ9PrZ2didBarZZ5\n8xLrDgaDFBYW0tvbS2NjI1qtFpfLhdPpxGQavyei4hLOkWC53W62bNnCyZMnqa6u5vnnn0/1WUuy\nb98+vvjFL+Lz+VCr1Xz1q19ly5Ytqf9//etf51e/+hXhcJjCwkJKSkq48sorMZvNFBYWTjpO5PV6\nZ2UfZ4vG3gBPvN/GTWtKObfKPu6y225cQmNvkIsXZd7ifCK+tqmWw52DXL544l6Sw7HqNagEYcqi\nerI/yN+8cJgKu4Hvb1mRuikc6fRz2WInZp2aT3z/fdyBGEtLrRzt9iPLoFdBYdBLx0CIRS4Li1wW\nvnfLxE8MMyX5tDfZV3Dx4sWEQiF6e3s5evQokUiEoqIinE4ndrt9xNidKbFRBGuKbNu2jY0bN7J1\n61a2bdvGtm3b+OY3v5m2jMlk4qc//Sm1tbWcOnWKc889l2uuuQa7PXGRPvjggzz44IP85Cc/ob+/\nn8997nPT3p5sJY5mkuCa5PeHe3njeD/RuDSqYA0djJUOI5WO6Wdov7DnFH2DMe7eUDnhU7pMvqup\nL4AoyQyEplJ4GXzhOHFRptsXIRKXMGjV7Gr18Y1XmjDrNdx0ThlWvYa4KHP9qlLqXx8kJstcUanm\n2vMXT8vqzJThYmE0GqmqqqKqqgpRFOnv76ezs5MjR45gsVhwuVwUFxfPWEuufJ+GNieC9dJLL/Hm\nm28C8NnPfpbLLrtshGAtXrw49XdZWRkul4ve3t6UYCU52yqO3ri6hEhc5LpRYjEziT8c58fvtSHK\nMhtqHKyaops3FT61Zh5ajYoFRSb+8X+PcnGFnlXFE5+XVeU2vnPTMp7Z1cEn//tD/vWGOl7c10Vf\nIEahWccP3z5JeYGB39x7ITqNivMXOBAEGGg+xEXLZ/f4jcZEYqFWq1NNUWVZxu/309vby969e4HE\nU0mNRpNxmeZ8G/NDmRPB6u7uTvn0paWldHeP315q586dRKPR1Oz9oczE1JyZsHwm8z0zcXerdBj5\n0pWZVw2YCIteze3nldM7GJ1y776pYjdpuf28Cn72QTvvNrpp7NZQbFLxDyYnZr2aaFxmYfHo8Z0l\npRb6BqPETqdQNPWHcRg13H5+Jb892M2GRYWpjs7LyxKiu6N5VndnXKaSA2Wz2bDZbNTU1BCNRmlo\naMDtdrNjxw7sdjsul2vK/QQVwRqDK6+8kq6urhHvP/LII2mvBUEY9wB2dnZy++238/TTT48aj8p0\n8vOZWq1hOE19QSRZTqUnuANRAlFxTDdOEARuP79i1P9Nh25fhLcb+rl8cTHFltHdm2uXu/BF4uxs\n7GN/Z4jfHerhrXo3oiTzw1tXjLmt/7K5jhZ3iNUVNubbdfSH4dLFTm5YM7sPUqZKJuNMp9NRWFiI\nwWCguroaj8cz6mRtg8Ew4TYogjUKr7/++pj/KykpobOzk3nz5tHZ2YnL5Rp1OZ/Px3XXXccjjzzC\nBRdcMOoy+TI1Zy6eEibpD0T5mxcOI8syT9y2iiKzjr/cfohAJM5/3rycWtfsx3J+9G4Lrxzppbk/\nxJevGmkhvnKkh/94oxmrQcvnzylkX7uPm9aWsrfdRygqjlvTa2gKxcJiE8uNxinVac8WM1WtQaVS\npRqewuiTtZOB++HfpwjWNNi8eTNPP/00W7du5emnn+aGG24YsUw0GuWTn/wkd9xxBzfffPOY68qX\nag1ziVGrxm7UIMoyJl0il8yoVRGKCSl3aba5YnERTX1BLhnyxDImSvzHGwn/rKkvQKc3wkAojiQ7\nuHVlAfMLTTx52ypkmaxtZy4zltiMNlm7vb2dw4cPY7PZcDqdFBcXo9Vqlak502Hr1q185jOf4Ykn\nnmD+/Pk8//zzAOzevZsf/ehHPP744zz//PO8/fbb9Pf389RTTwHw1FNPsWZNemJfvlRrmEthNOnU\nPH3HGmRAc9ry+K9bVxKJz1yy5kRcsqiISxYlLAJJlvnOH5tocYc40jWIShB46NpaaorN1LrMrCtV\nEQoGAHJiDuFMkY25hMMna/t8Pnp6ejh58iRqtZpQKEQwGMRms+WkIE3EnAhWUVERf/zjH0e8v27d\nOh5//HEAbrvtNm677bYJ1zUTBfzOpHpYY32PepiL1OIOIckTd8+ZDYJRkVeP9iFKEjeuKqXCYeDi\nGkfK+urt7Z1gDQn2tXn5l1cauGntPLacm1vxqrHIpkgIgkBBQQEFBQWpydo7d+6koaEhlb843mTt\nXCSvM91hZlzCbJELrqcsy+xq8fLPvzuOIAg88eermFcwfqB2prHoNXz144twB2PcsKoE1ZBz4A3F\nGAjFJzUwH9/RxtHuAN98tRF/OM5dF40sBZ1LzHXnZ4PBgE6nY82aNQiCMKnJ2rnGGSFY+eIS5gLv\nNHr4+h/qCUbjLCw2pzUczSaX1hbR3B/kxb2dfHyZC5tBgy8c585nDhCNxfjKxYU89dvjFBi1/O0V\nC9JELRKX0KgE7t5QydHuQfoGozyxo41b15cxk/Zi/2CU3sHItCdEDyeXysuMN1lbFEWcTifLlk29\nvPVskx924Djki2BBblhYFn2ixfzFNYU8fcdqLKfbcDX2Brj1yT388O2TWduWb73WyH++0cyv9qen\nv8gydA7Gea/Jwx+O9OILfeTydwyE2fLEHr64/SCrym1899PLMenUCAI09gZTy7W5g7zf5E512JkO\nf/nsPu7bfoDdLZ5pr2Mmma3Jz8nJ2gsWLOC8885j3bp1FBQU5JxYwRkgWPnShCJbjDeoo3EJrUrg\nmc+t4ZHNS1JWy57WAb71xybaPGF2NA9ka1P5+DIXS0stnDc/MXvBZtBw05pSgjERd1Dknour+PKV\nC7EPKbPsDkQJRUX6BqOIkszSUgt3nFeBTqPi//3mOP5IYizc//xB/ulXh3mvyT3t7Su26FCrBKyG\nmbHbZsJCysZcwuSE7FxEcQnPgqeESX7wdgu/OdTNzWvm8cWPfVQX6sfvtbGvw8fltYXcc/HIelGz\nxeZVJWxelT5F5pQ3jChBuz/O3VeODKQ/9ad24pLM3ReWERz0E4lE2FAi8XutjFaOcvzIYQaKC6kp\n1BGJS5SNEZ9rdQdp84S4cEFhWs7WWyd6GQjFuX5lKd/bsopIXEprBjuXJCdPn83kxpnIgHwRrGwx\n3t2zyKxFJQgUmdMths9eUEHJkV7u3lBJhT3zdlaZ8MVL5lNXIFNlitPb20s4HCYSiaR+d/aGEOMS\n7u5TdGotGAwGnDYDT2ypw6DXo1GrCIfD3L6kB1+ZSLSvFbe6BIfDkXZs/ua5AwwEY3z9hmWpdAtf\nKMbXfnscSZapcZpZUWZDM4NpFbkQw8p3znrByha5IIy3nVfO5lUlI1IZLljgGNEqa6aQZZm3G9wU\nmXUsn2chHo+PEKHk73g8jiAIlMgy0aDA4GCiiGKyXJBer+e/V0DvYJQFRaPPLYxGozidTkpLS1Nl\ni0+dOsWRI0dwOByUlCTiNY4AACAASURBVJQgyzIrymzsb/dSYf/IArPoNVy51El/IEr1GOvPlFxw\nCfOZM0KwlEz3ySEIQsZ5V95QDFGSaO4PUlZgQD8kA300MTp4ys9/fOBDJcDDF+owG3RphRPtdnvq\ndbL6Zk9PD8FgkOrq6hHfb9GQelAwEcOfhLndbrq7uwkEAmxZaONvLqyheEiDVJVK4KvX1mV0fMZj\nJtIaznbyXrDyZfJztoVRlGQicWncOXhTIR6P8/rRbr79RivFuhjdO/ayoljDXSv1RKNRIHEuhoqR\nzWZjjdnOwuZWyuwGLrqgLi09YSaJxiU06rHXLQhCav6dx+OhoqKC7u5u6uvrsVgslJaWUlxcPKXK\nB9NBcQkzI+8F62yrhzUZZFnmS788wvHuAN/61FKWzxs/j0gUxTSraOjf0WgUWZZRq9U0dUNcFImK\noBIE7DYLy5bVotVqxzyOxcCTt89uxdM2T4i/fv4w5XYD/35j7YTLC4KQqvqZnL7S3d1NY2MjRqOR\n0tJSnE7nlOqtT4aZuGGdieN1Kpz1ggXZm5qTLQursTfAO42ehBsUiBAKaUa4akNr3qtUqpRVZDAY\nUm3rk5nRyYtkrSxz+TkB+puPYKqoQ5LlccUqWwwEY0TiEl2+CFNNuxo+fWVwcJCuri5OnjyJXq+n\npKQEl8s15S7PozFT1RrOZs4IwTpbY1iSJKUabgwVpIPHTmDVSGhVoHM30RAypsTIaDTicDim1RtR\nJQgsLbXwfgs8/Pt6InGJf7txCStnsRrpWHhDMY51D3JOZQEry238+6eW4jBpU5O7p4MgCFitVqxW\nK7W1tQQCAbq6uti9ezdarZaSkpKsFHscC8UlPAME60yNYQ1tTTbaU7Vk1+ihvRENBgNarZarV9ax\naqmMwzT5VltTQSVAVaGRdk+IojGK8c02j7zcwO5WL/dcXMWWc8tYdtrtTcbTZgKz2UxNTQ01NTUE\ng0G6u7sJhULs2rULl8tFSUnJhAXzhqKkNWRO3gtWPqU1JJFlmVgsNmrMKBwOI4piWmuypLtWVFSU\n+nus4HB7eztGo5Ea8+wlGKoEgUdvXoYkj6wCMR4xUaI/EKPUlvnkWpdVRzAqMhjOziwHk8lEdXU1\nnZ2drFy5ku7ubg4cOIAsy7hcLkpLSzEa5zaH7WzgrBesmbawZFke9fG+3+9ncHCQgYEBBEFItbFP\nCtDQXKOZDvbOBtOZovevrzTwTqOHB65ayJVLnGMuN5nzkcifknm3ycNdG6qmvjEZYDAYmD9/PvPn\nzycSidDT08OhQ4cQRTFleZnNI6u4KhZW5uT+lTEB2Ras8RIfY7EYgiCMeLxvt9uxWCy43W6WLFky\n64Nutl3cUFzmsz/dh0yiEOBk86KiYiL+ExMn3r6JjtFli4up7w1wRV3xuMvNNMO3S6/XU1lZSWVl\nJdFolJ6eHo4dO5ZKYC0pKcFisaQ+ly+ClavCmPeCpdFoZswlFEVxTDEaL9fI6XSmEh/HOtE+n2/C\nhhszQTYGWjgOA6E4sgyBiDhpwXrw2sV0esPML8zcdSq16Xnw2sUTLziDTHQj0Ol0VFRUUFFRQTwe\np6enh4aGBkKhEMXFxYTD4YxvJrkqJNki7wVrshZWMtdo+KP9QCDA4OAgO3fuRK1Wp4mRxWJJxY0y\nfXx/Jg00h0HgP29ehixDyRTiUXqNatamvGSLyZ5HjUZDWVkZZWVlqTrrXV1deL3eVMxrqiVc8vVp\n9kxyxghWS0sLBQUFowaygdQTtaQYJXONAFpaWli1KjutyrNBNr5n0Rx0TZ5rpntck3XWPR4PLpcL\nURRpa2vj0KFDFBYWUlpaOmJy9ljffybd+KbDnAiW2+1my5YtnDx5kurqap5//vmUeAzH5/OxbNky\nbrzxRh577LHU+wcOHOAv/uIvCIfDdHd389WvfpWHHnooJUoFBQWpxMfxco1CodCM799cko0Bnet3\n+tk8BpnGoJItulwu14jJ2Xa7ndLS0jFrrCuJp3MkWNu2bWPjxo1s3bqVbdu2sW3bthGt6pM8+OCD\nfOxjHxvx/tKlS3nrrbcQBIFLLrmEZ555Zlrbks0g5pkwYHKFZAKnLMvIspzKS4P/v71zj26yvv/4\nO2ka2rRJL0maa29pKSCKyoqwM4eVm4gedBOrqAc8lstheiZnE9cdp9vxDMXpOGezVJyiIDqEzWn1\nbLAhE2WK0iIMAaGVUmhza5PekiZpbs/vD/Z9fk/SJE1za1O+r3Ny0pSHPM/T5Hk/n/v3SmJEIBAk\nfHZUoltrgpuz+/r6YDKZcO7cOeTl5UGhUEAmk131M7C4jItgNTU14fDhwwCA1atXo6amJqRgHT9+\nHGazGUuXLkVLS0vAv5FWCZ/PN6HKGq4Gki3yfr8fDMOwnysRpUjHIhAIcOS7Xgy5fbhthoytZePz\n+UkRr1iI9D3j8XgoLCxEYWEhGIZBf39/QHO2QqFgzyme/ae7SzkugmU2m6FSqQAASqUSZrN5xDZ+\nvx8///nP8fbbb0dcRZrP58clOBO10j0ekrWf3iE3nt3fBpHbgzlzYn+fUNYR8P/ik5mZiUuXLrFF\nmVlZWeDz+WyWlWzHFaE+hxvP/esC/AwwVSFBVZGIfe/h4WHweDxkZGTELVypEIxwzdnd3d1wOp3Q\narUoKioac70eFawILFq0CCaTacTvN2/eHPA6XKq/sbERy5Ytg1arjbifRHwAk8nCSuYXsrV7CKf0\nNsDng9fPhOzbI+Lj8flxrKMfZdJsKHJDZ1jJZ5+RkcFaQzweD3K5HAUFBeju7kZrayuAKze2oqIi\nCIWhW4HysjNxy1QZBl0eFBdmsTcyv98Pp9PJPkhpgcfjGbOAjcf3hNucPTw8DJlMhqGhITQ3N0Mo\nFLJ/l2ias6lgRSCSVaRQKGA0GqFSqWA0GkMOvD969CiOHDmCxsZG2O12uN1u5ObmYsuWLQk9ThrD\nip7vleThJz8sgaP7EniMH17vlfMJdV7/Pm/Fi4cuoqQgG288dCUDSwSJ/BwJbk2Ty+WCyWTCyZMn\nkZmZyV6kfD6fzQa7XC48NCMTLpcPrWe+YbPDmZmZyMrKYh9isRglJSXw+Xzwer3g8/mscEUjXuPt\nkuXk5EClUqGyspJtzj5+/DgEAgE7WSLcuoJUsGJk+fLl2LVrF+rr67Fr1y7cddddI7Z555132J93\n7tyJlpaWhIsVMDmEJJh4zofEj8j7cIPZAHDXdXK0tfXj1KlTbFCYFMySB5/Ph65IAnFWJq7T5MU8\nmsXv98PlcsHpdCIzMxNSqRQ2mw3fffcdzp49Cz6fD5FIBLFYDJFIxE6iIKUro12cfr8ffr8fXq+X\nzeBFEq/xnmcVLDihmrNPnjx5Zcy0QjGiOZsKVozU19ejtrYWO3bsQGlpKfbt2wcAaGlpwfbt29nl\n6lPFZIphRfpCBseOyM/h3oe0GQGB1tF1110Hh8MBo9GI//73v8jNzYVKpUJhYSG7zTUqMT7acFPE\n4yEN4ORBXDYyjYLM6eJaRySmJRAIYLPZYDQa0dt7ZSkviUQypmJMrjAFi1dGRkaAqxrN33c0kil4\nIpEI5eXlKC8vZ0t9uM3ZCoUiLXpUR2NczkAqleLQoUMjfl9dXR1SrB5++GE8/PDDSTmWdL/jcOFm\n17xe74hgNheuNRQpmB0OkUiEiooK6HQ6DAwMwGg0orW1FVKpFCqVCrm5uXC73SOEyOl0su6aQCBg\nxSg7O5vtKsjKyopqVLFEIoFEIgkoCTh//jykUimUSiXEYnFc4uXxeALEKxEtYKkQvFDN2WfPnoXb\n7YbX68XQ0FDI5uxEHWcySX/JjZN0yRJyrSPyHOr9xGIxzpw5A4VCAblczhbOjkWMoj0ernUkFAoh\nFothtVqh1+vh9/uRlZUFiUSC3Nwry3Hl5+dH7a6NBW5JgN/vh9VqRUdHBxwOB7uCzmgXKBciXgzD\nYHh4GHa7HS6XC3a7nb0hBFte0ZCIRSjG+nfjNmfbbDacOnUK586dw/DwMPu34TZnT3SoYE0AVw0Y\n6a6NVrPDvWC4gjRt2rQr6/cZjTh9+jSys7OhVqshlUrH9KUkUym41hF5kAuWax2JxWK2CTwzMxNe\nrxdmsxkmkwkej4e9MJLtlvD5fMjlcsjlcni9V9Y2bG1thcfjGRHXIUMSyTlyn0mze2ZmJrKzs5GV\nlYWcnBwolUp4PB52X6HcxnCM93gZgUCA7OxszJ49O2RztkKhgEQimdDiddULVqogbobP5wsZzOYS\n7KYFC9RoTJkyBWVlZSgtLcXg4CAMBgPa2togk8mgVqshEong8XhGuGqk95K4QeRCzcrKQkFBAfs6\nGnctMzOTzfI5HA521HCoeFeyyMjIYIPwdrudtbz8fj8yMjLYmWTkvEjQPjs7O2CWfSi4biMwdvEa\nD7iCx23O9vl86OnpQUdHB+x2O6RSKYqLi1FYmNzFQ2LhqhesRFw00QSzeTwe3G43zp07B7Vazd7J\nkuWukXS/0+nElClTIBaLYbFY0NnZCQCsu0ayaxKJhHXXEn3BiUQi6HQ6lJeXY3BwcES8SyyOvKpP\nOMh5hrKQyNhsriCpVCqUl5eDx+PBarWip6cHPB4P+fn5KCoqGtMSX+FiXuTfuMkKwnhbWOH+f0ZG\nBpRKJbv4rMVigcvlink/yWRSCFayXbpIfWvBRApmz5s3D319fdDr9bhw4QJUKhWUSmXYYshw+Hy+\nEa4aeU3cNe6iEzk5OZBKpcjOzkZmZibrMpIOg/z8fOTn5yfd4uEWQZILo729HS6XCwqFAkqlMiAN\nzy1rCH4O55Zys4iRzkcikaC8vJytZWpubmZdPqlUOrbFOf4nXuR7wq2uT2RrUCqan/l8/pjFO5VM\nCsGKh1j61oIrs4HorSMSHPZ4PDAajThx4gREIhE0Gg07sYKb7g8WJuKucdP9pMufu3pyJLKyslBe\nXo6ysjIMDAzAYDDg/PnzKCoqgkqlgkiU/JlVZGpBTk4ObDYbenp60NnZybpr5MEVpLy8vDGdZzSQ\nWiadTofBwUGYTCZ899137L6iGfvCPSfyTMSLDIUkC4qM9wC/iRyfioZJIVhjqT0K9YXh8XhobW2F\nWq1Gbm5uzKn+aCCZJ1IMKZfLMTg4iNOnT8Pj8bBBXpFIFGA5ZGdnJ9xdI+5Qfn4+fD4furu78e23\n34JhGKjV6pj61bgEB+5D1VkRd62goAAqlQo8Hg99fX2wWCzIzs5m413Jjgtxrb+xlklwP1NynuRn\n4iaSgZAMw8DlcsVkeY1HlnGiMSkEy+v1jhrMDhfA5vF4mDt3LiwWCy5dugSfzweNRgOFQhHTRULu\nqKGso1BxFZFIxNYf8fl8mM1mGAwGeDweFBUVQSaTpeRLlpGRAZVKBZVKBafTCaPRiObmZkgkEqjV\n6pAuI7EEQwlScOCe1FmR15H+tlKpFBUVFWy8q62tDYWFhewNJRWuK7dMoqenBxcuXIDD4WBLNIhb\nzhWk7Oxs1gWXyWTIzs4e4ZoSiz64KTuavsbxjoFNBHhjVO0J2cMyffp0qFQq1NXV4fbbb2fvXLFY\nR06nE3q9Hj09PZDJZNBqtezyTdwVcUIVQwZXZ3OzbCTdHy02mw16vZ6dUqlWq1O6jBRJ+ff09MBk\nMsHhcLAZQnKRkjQ591yTYQmS2iqj0Qin0xky3hUP3PKGYPEl5Q1kRSOfz4ehoSH4/X4olUqoVKqY\nPxeueEXTGnTs2DHceOONMbc6DQwMoLOzE9dee+2o22ZkZKS6Mj4qJZ0UggUAbW1taGxsxKFDh3DP\nPfdg9erVIZuqI0FMe5fLBYfDAavVir6+Pvj9fggEAvYRLETRWA2xQlw1vV4PPp8PjUYDuVwe977G\nWoMkFArhdDrR19fHHsd4BGc9Hg9b38Xj8aBSqUZ1Xcm5ct21YEESCoWshUQ+U5KkCGWVkBVyyHGQ\nGq94+iaJcIUTr2PHjmH27NkxC0l/fz/0ej1mzpw56rZUsFLE0NAQ3nnnHbz22muYOnUq1q9fj+rq\navB4vBFZJ66FxHXXgoXI7/fDbDajv78fCoUCGo0mbEd8ss/NYDDAYrFAKpVCo9GEreAOFVchz8RC\nIhdpsIU0Wg2Sw+GAwWBAT08P8vLyoFarx7ygQiIgrqvZbIZIJEJ+fj6EQiF73lzxFQqFAULEFeJ4\nj5tMk+ju7kZmZiZUKhXkcnnMYh5KvAQCAZqbm1FdXR2zkPT19cFoNOKaa64ZdVuBQJDqm9HVKViE\nnp4ebNy4EUeOHIHb7YZYLMb27dvZuqNgURotDQ5csXZMJhP0ej2ysrKg1WrHlEVKFH6/H93d3ejs\n7ITX60VeXl7AhRoqVsZ9jncFIALDMOxM8qGhISgUCqhUqoS5atz9cAtduc8k88bn8+Hz+eDxeCAW\ni6FQKCCVShPeBjQapEyip6cn5jIJEgd1Op1wOBxwOBxwuVzo7+/HD37wA/bzG6uV3dvbC7PZjBkz\nZoy6LRWsFONwOPCf//wHpaWlEAgE2L17N9577z3cdtttqKurQ2lpaVzvPzAwgK6uLthsNqjVaqhU\nqpjdgVBEW4MkEAjY5cry8vJQXFyckpqqYIirZjQa2SrqaF1XEhsMjiFxG6W57inXQgoWpOB4FynV\nSLSIRnNOpEyit7cXeXl5UKlUyM/PB4CQ7in5bEkclGsNEsuXvHekiRLhsFqt6O7upoKVLng8Hvzt\nb3/DK6+8ArFYjLVr12LBggVxxYNIPZXBYIBYLIZWq0VeXt6o/497Fw1+Dhe851qDwTAMwzYeDw8P\nQ61WQ6lUjstIEa7rWlBQALVajaysrABXjeuWA/8/aC84jhSPheTxeNDd3Q2j0Rh1vCsRBAfxnU4n\nBgYGYLPZ4PF4IBAIkJOTg9zcXNbij/TZhoLrNgLRtQaR6v7p06eP+v5UsCYYp06dQkNDA5qbm/Hg\ngw/iwQcfjEpowkFqd7q6uuByudiFMkONWAmuQQp+jveLMjw8DIPBALPZDLFYDI1Gk/QYU6gSB6fT\nCbvdzo5pycnJQUFBAXJzcwMspFT03jmdTphMJpjNZnZqZzz1XcRFDbaQiEXIDeJzH3w+H1arlc28\nxjJNIphoxctiscBqtWLatGmjvicVrAlKf38/3nzzTezatQvV1dVYt27dqGnfUOUNwYLk9Xrh9Xoh\nEokgk8mQn5+f1GxiuOMkrUAOhyPmViAArMsWXBgZXHMVykLi8/nweDwwmUwwGo0QCoVQq9XjsoQV\ncdWMRiP6+vpQWFjI9jNyBZ3UWYU6Z4Zh2Gxx8DmPxSIk0yTIRItQU0LHSiTxIlnvqqqqUd+HCtYE\nx+/34+DBg3j55Zdhs9lw3333oaSkhF29JNTwudFqkBiGgcViQVdXF3w+H7vayXh08xPX1Wg0BrQC\nkYuLK8DBIhyqCJQ8YrGQ7HY7DAYDrFYrWxAaawN0rJDFKchqNMPDwwEZQ2IBh4qbJePzc7vdMJvN\nMJvNCSuTIM/k556eHrhcLipYk4n169fj888/x9DQEAoKCrBgwQKsXLkSSqUyrpiK0+lEV1cXLBYL\n5HI5NBpNSgtBuRZDX18frFYrXC4XW28TLoaUTIuQBMgNBgOGh4fZiQGxWIDBcGvquK4byaKSpAW3\n3srhcKC3txc8Hg9KpXLcxgpzhZSsjBNNmQT3MyYZxuDEhUajYbOWkVqDqGClIU6nE3v27MGf/vQn\nlJSUYP369Zg3b15csSBS06XX65GRkQGtVpuQ9htuED/YQuLGzILLG8iCneTLnKpWoGDcbjfrMmZl\nZbFDB8NdUMGZRe6DW50eyioczWrhxrtEIhFUKtWYSxMShd1uh8lkgsViCWjjChZi0jQeKm7Gvcly\nm7JJq04o8aKClcYwDIOvvvoKL7/8Mtra2vDwww+jtrY27qkGdrsdXV1d6Ovrg1KphFqtDluQGiqr\nGCxIoQojow3ij3crEBcydLC3t5ed2w4g4JyBkZlFbvo/UXVm3IUuwsW7EklwMJ8rwkRkvF4v268o\nk8kgEoliEpfg1iBuX6NQKKSCNRkwm8147bXXsG/fPtx6661Yu3YtdDpdXO/p9XphMBig1+shEAgg\nkUjA5/NDljmEiqkk8ouVrFagUHBrzYIzbuSceTwe69LIZDK2uj/V1g63vsvhcLD9jGMV9VDnTApD\nwwXzRSJRQLEvSaYYjUYMDg7GtOgGgUyP6OjowMWLF9He3o6Ojg4oFAr8+te/HtN7xQkVrGTi9XrR\n1NSEV155BZmZmVi7di2WLFkS9kIK/qKGGrpH4kUOh4PNGhUXF6e86JEwllagUHDbg4If3HMOlW0L\nFmEydNBkMiEnJwdqtTolY5ZDwZ1XDyAg3kWq8kn8KFzsjFt/FU+skAxCjFQmQTojLl68iIsXL+LS\npUvsz3a7HVOmTEFpaSl0Oh07G2zatGkoLi5O2N8sCqhgpYqzZ8/iD3/4Az777DPMnz8farUas2fP\nhkKhYL+okSykUIFdj8cDg8EAo9EIsViM4uJi1jVKNWTEClkNR61Ws+N3wrkwocaucB+xBrNJWYLB\nYEB/fz/kcjlUKlVcdUxjhRvcHhwchNVqxdDQEAAEzDMLPudEdkJwITeG9vZ2dHZ2orOzE3/84x/Z\n2FVGRgaKiorYMdVEmCoqKsalBzQMVLBSyd13382OHnG73bjuuuuwcuVK3HDDDXFlmki/XldXF4aH\nh6HRaKBUKlMWXwgObNtsNgwMDLAZRpFIxBaCBl+cyb4QyOIJBoMBPp+PFdJ4M3ujWYbcBAb3QRIH\nvb297EDCRK1CQywp4rYRK6mjowODg4OslUQESSqV4ty5c7Db7diyZctEEaVIUMEaLxiGwb///W80\nNDTAYrGgrq4Od999d9zpepfLxVawFxYWQqvVxm1ZBGcXgwtgw2WehEIhent7J0QrEHDlb0MmN+Tm\n5kKtVkdsTCdCHOy6BWcYgy2laG4Ufr8fvb29MBqNbFP4aPEuIpKXLl1i40nkWa/Xw+fzQSaToaKi\nYoSVNB69o0lgcgjWgQMH8Pjjj8Pn82HNmjWor68Pud17772HFStWsCM4JgqXL1/G9u3b8dFHH+HO\nO+9EXV0d1Gp1XO9J7rZdXV1gGAZarTZsYJwEVcfSaEteRxtT4caXUtUKFA6GYTAwMAC9Xo/+/n52\nIVeupRguuJ3IDCOBrP9nNBrh9/tx5MgRXH/99bBYLAHCNDAwAKFQGGAlEUEqKSmJappImpP+guXz\n+VBVVYWDBw9Cq9Vizpw52LNnz4h5PjabDXfccQfcbjcaGhomlGARXC4X9u3bh1dffRUKhQLr16/H\nzTffHPeXcGhoCJcvX4bVamWbacnF6fF42BV0QgW2E20NJbIVKJp9RYqfkfMmFe18Ph9KpRJarTap\nsSS32z3CSuro6EBXVxebTDh37hxKSkrwxBNPsEHu8UogTCDSX7COHj2K3/zmN/jnP/8JAHj++ecB\nAL/85S8Dttu4cSMWL16MF198ES+99NKEFCwuLS0taGhowOnTp7Fq1Srcf//9yM3NDbt9NI22WVlZ\n8Hq9sNlsyMzMRElJybi1AZFjjtQKFA3EXSVpf+K+ceuwuKl/kn0LZY04nU4YDAZ0d3dDIpHEbAUS\nd49k2bjC1NfXF9JK0ul0KCsrY4+LYRjo9Xpotdox7XuSE9UHMaEXodDr9QGpVa1Wi6+++ipgm6+/\n/hqdnZ2444478OKLL6b6EGOiuroaO3fuhMViweuvv46FCxfi2muvxZw5cyCRSFBdXR2y0Za73FWk\nNiGbzYauri5cvHgRSqUSGo0mKVZOJIhoFhcXY3BwEHq9Hq2trVAoFGyBbDTBbW4JgFwuj7l/MTs7\nmxUPMlXj3LlzI4YOEsvt8uXL6OjoYOuSiJXk8XhQWFjIZtymTZuGZcuWoaKiImoricfjUbGKkQkt\nWKPh9/vxs5/9DDt37hzvQ4kJmUwGsViM3NxcGAwG7N27F3K5HPn5+Zg/fz5EIlFMFpJYLMaMGTPg\n9XphMpnYtQ+1Wm3KA7REeMgqMmS5eOCKqOXk5LBWElkINZ6yh9Hg8XgoKCgAwzBob2/HqVOn8Npr\nr2H//v3sDPUpU6agpKQEOp0OOp0OS5cuZa2kVGQ/KeFJa5dwYGAAFRUVrDtlMplQWFiIDz/8cMK7\nheFobW3Ftm3b8Mknn6C2tharVq2CTCaL6z1JILqrqwtDQ0NsRi8RsRzucvFc1y1clpG4bm63GwaD\nISmtQMRK6uzsZF024rZ1dnbC4/GgoKAgoC5JKBTiyy+/xE033YT77rsvIcdBGRPpH8Pyer2oqqrC\noUOHoNFoMGfOHPz5z38Ou+pHTU0NXnrpJVgsloiZxa1bt+L111+HQCCAXC7HG2+8EffI5ERjt9ux\ne/du7NixAzNmzMD69esxe/bsuN+XCIXJZIJEIoFWq41YkEp610JVbpPgNulZDJ6eGU0JAGkFMhgM\n4PF4UbcCMQyD/v5+1mXjBritVisEAgGKi4tRXl7OZtt0Oh1KS0tTPuedEhXpL1gA8I9//AMbN26E\nz+fDI488gqeeegrPPPMMqqursXz58oBta2pq8MILL+CBBx6ImFn85JNPMHfuXIhEIrzyyis4fPgw\n9u7dm+pTiwqGYfDZZ5+hoaEBer0ejzzyCH784x/H3a4TXJAql8uRk5MTEFMiMTRucDuZxaHcViDg\nSjKhoKBgRF3S5cuX4fF4kJeXx7pt3DKA8RgMSImbySFYYyXazCLhxIkTeOyxx/D555+n7BhjRa/X\n49VXX8X777+PpUuXYs2aNVH1e4WaMU5cOJ/PB+CKa0dWF1IqlSgoKEj6dFTiqhIxItbS5cuXIRAI\n8O2338Jut6Ompgbz589HZWUlG0uiVtKkI/2zhLEQTWaRy44dO3D77ben4tDiRqPR4Nlnn8WvfvUr\nvPfee1i7di3y8/Oxbt06fO9732NrsbiiFGrGeG5uLptx4wa3uQWpJpMpYkFqNDAMA5/PFxBL4lpJ\nbrcbEomEddt0USR6ZAAACX1JREFUOh0WLFiAyspKdr+XL1+OekomZfIz6QRrLLz99ttoaWnBp59+\nOt6HMiaEQiFWrlwJs9mMN998E6tXr4ZEIsHNN9+Mxx9/HPn5+ZBIJGOekMrn81FUVISioiIMDQ1B\nr9ejvb0dcrkcWq02pBtKmpFJYJsbS+rp6WGHFJLgdk1NDerq6lBWVoasrKxRj62kpCSmvxFlcjLp\nBEuj0aCzs5N93dXVBY1GM2K7jz/+GJs3b8ann346Lqs4J4IHHngA69atg0gkQl9fH9544w2sWbMG\nc+fOxbp166Jafy4cOTk5qKqqYksjWlpasHPnTshkMgiFQnR0dODSpUusG8ktlKypqUFlZeW4Fq5S\nJieTLoYVTWbxxIkTWLFiBQ4cOICpU6eyvx+tb3F4eBirVq3C8ePHIZVKsXfvXpSVlaXq1KLC7/fj\nwIED2LZtG5xOJ9asWYM777wzYl0TmawZqnq7u7sbGRkZ0Gg0KCoqwvnz52G1WrF3715UVlYiOzub\nxpIoieDqDLoDo2cWFy1ahG+++QYqlQrAFbfj/fffH7VvsbGxEadOncL27dvx7rvv4v3335+w2UUA\nuHDhAhobG/Gvf/0L99xzDxYvXgybzYb29nZWkIiVlJOTM2JeUmVlJTv3iovH40laPx4lsaTR8IDo\n7npk2esoH5OWL774glmyZAn7+rnnnmOee+65gG2WLFnCfPHFFwzDMIzH42GkUinj9/tTepyxMDQ0\nxDQ2NjI6nY559NFHma1btzJNTU3MN998w9jt9rQ4B8rY8Xq9jE6nYy5cuMAMDw8zs2bNYs6cOTNi\nu8HBQeaHP/whM3fuXKa5uXkcjpRhmCg1aNLFsGIlmuwidxuBQIC8vDxYrda4K9GTjUgkwoYNG7Bh\nw4bxPhRKCjl27BhbCgIA999/P5qamkZMO3n66afxi1/8Ii16cWlElEIZBw4cOIBp06ahsrISW7Zs\nGfHvW7duxTXXXINZs2Zh4cKFuHTp0pj3EeomrNfrA7bhDg9IB6hg/Y9osovcbbxeLwYGBiCVSlN6\nnJT0x+fz4dFHH8X+/ftx9uxZ7NmzB2fPng3Y5sYbb0RLSwtOnTqFFStW4Mknn0z4cZDhAb///e8T\n/t7JggrW/5gzZw7a2tpw8eJFuN1uvPvuuyNaf5YvX45du3YBAP76179iwYIFIzJkvb29WLx4MaZO\nnYrFixejr69vxL5OnjyJ73//+5g5cyZmzZo1oQP3lMTDddWEQiHrqnG59dZb2XUv582bh66urjHv\nZ7SbsM1mw+nTp1FTU4OysjJ8+eWXWL58OVpaWmI8s+RDBet/CAQCNDQ04LbbbsOMGTNQW1uLmTNn\n4plnnsGHH34IAKirq4PVakVlZSW2bt0a0pTfsmULFi5ciLa2NixcuDDkNiKRCG+99RbOnDmDAwcO\nYOPGjejv70/6OVImBtG4alxi7cYY7Sacl5fHjmru6OjAvHnzJv6kk2ij88wkzxImiqqqKsZgMDAM\nwzAGg4Gpqqoa9f/MmjWLaW1tTfahUUZh//79TFVVFVNRUcE8//zzI/7d5XIxtbW1TEVFBXPTTTcx\nFy9ejGk/f/nLX5i6ujr29VtvvcU8+uijIbfdvXs3M3fuXMblcsW0r7///e/M1KlTGZ1Ox/z2t79l\nGIZhnn76aaapqWnEtrfccsuEzxJSwUoweXl57M9+vz/gdSi++uorZvr06YzP50v2oVEiEE0JwLZt\n25j169czDMMwe/bsYWpra2PaVzQlNAzDMAcPHmSmT5/OmM3mmPaTZlDBShYLFy5kZs6cOeLxwQcf\njBCo/Pz8sO9DLLCjR48m+5Apo5DKOjyPx8OUl5cz7e3trDiePn06YJuvv/6a0el0V5PlTeuwksXH\nH38c9t8UCgWMRiNUKhWMRiOKiopCbjc4OIg77rgDmzdvxrx585J1qJQoSWUdHjdeSroxSLyUdGNs\n2rQJdrsd9957L4Ar3Rgklno1QwUrwZBMYn19PXbt2oW77rprxDZutxs/+tGPsGrVKqxYsWIcjjL9\n6O3txX333YeOjg6UlZVh3759KCgoCNjm5MmT2LBhAwYHB5GRkYGnnnpqwo47XrZsGZYtWxbwu2ef\nfZb9OdJN8WqGZgkTTH19PQ4ePIipU6fi448/Znu3WlpasGbNGgDAvn378Nlnn2Hnzp244YYbcMMN\nN+DTTz8dtRyCMDg4CK1Wi8ceeywl5zQRSHb2ldbhpQnR+o4MjWEllU2bNrGZqeeff5558sknw277\n05/+lFm5cmXYzNJkJNnZ12jiSg0NDQFB93vvvXeMZ0GJQFQaRC2sCUJTUxNWr14NAFi9ejU++OCD\nkNsdP34cZrMZS5YsSeXhjTtms5mdrqFUKmE2myNuf+zYMbjdblRUVET1/omqw6MkmWiVjaEWVlKJ\nphzC5/Mxt9xyC9PZ2cm8+eab425hWa1WZtGiRUxlZSWzaNEipre3N+y2AwMDjEajiXjMNPt6VUOz\nhBONRYsWwWQyjfj95s2bA17zeLyQQ/EaGxuxbNmyCbNqMIkr1dfXY8uWLdiyZQteeOGFkNs+/fTT\nmD9/fsT3o9lXymhQwUoh8V6QR48exZEjR9DY2Ai73Q63243c3Nxxc02amppw+PBhAFfcWLLMWjDE\njV26dGnMfWo0+0oBQF3CicITTzwREHTftGlTxO0ngkuYSjfWYrEwCxYsYCorK5mFCxcyVquVYRiG\naW5uZttcdu/ezQgEAub6669nHydOnIhpf5SUQ13CdKK+vh61tbXYsWMHSktLsW/fPgBXyiG2b9+O\n119/fVyOa6K4sVKpFIcOHRrx++rqavZv89BDD+Ghhx6Kaz+Uic2knOlOSQ3Tpk3D4cOHWTe2pqYG\n58+fD9jmwQcfxJEjR8Dn81k39ic/+QnNsFGCuXoXoaCkhk2bNkEqlbJB997eXvzud78Lu/3OnTvR\n0tKChoaGFB4lJU2ISrBoHRYlZqKp6qdQEgm1sCgUykSAWlgUCmVyQQWLQqGkDVSwKBRK2kAFi0Kh\npA1UsCgUStpABYtCoaQNVLAoFEraQAWLQqGkDVSwKBRK2kAFi0KhpA1UsCgUStpABYtCoaQNVLAo\nFEraQAWLQqGkDVSwKBRK2kAFi0KhpA1UsCgUStow1lVzopoKSKFQKMmAWlgUCiVtoIJFoVDSBipY\nFAolbaCCRaFQ0gYqWBQKJW2ggkWhUNIGKlgUCiVtoIJFoVDSBipYFAolbaCCRaFQ0ob/A6A1P4NA\n+WOkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3f8758da10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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M9Hq60y3LnE4ngiAQj8fTZYktFku69vpQBfHGSqZbWGPZhpne1qHQBGsamepf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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4065fc18d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6 (-0.2828935767765398, 0.6441737612088522)\n",
      "7 (-0.27945292558934953, 0.6179833268677747)\n",
      "8 (-0.22310008494942277, 0.6951943359993122)\n",
      "9 (-0.1567579387790627, 0.7023208102694264)\n"
     ]
    }
   ],
   "source": [
    "# Train the GAN.\n",
    "for _ in range(n_epochs):\n",
    "    loss, duration = gan._single_epoch_train(all_pc_data, batch_size, noise_params)\n",
    "    epoch = int(gan.sess.run(gan.increment_epoch))\n",
    "    print epoch, loss\n",
    "\n",
    "    if save_gan_model and epoch in saver_step:\n",
    "        checkpoint_path = osp.join(train_dir, MODEL_SAVER_ID)\n",
    "        gan.saver.save(gan.sess, checkpoint_path, global_step=gan.epoch)\n",
    "\n",
    "    if save_synthetic_samples and epoch in saver_step:\n",
    "        syn_data = gan.generate(n_syn_samples, noise_params)\n",
    "        np.savez(osp.join(synthetic_data_out_dir, 'epoch_' + str(epoch)), syn_data)\n",
    "        for k in range(3):  # plot three (synthetic) random examples.\n",
    "            plot_3d_point_cloud(syn_data[k][:, 0], syn_data[k][:, 1], syn_data[k][:, 2],\n",
    "                               in_u_sphere=True)\n",
    "\n",
    "    train_stats.append((epoch, ) + loss)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ddjKc/BjUbWprJVOutOmL3oWBV8O394Re1xunw+bf7ACXC6eUvg/+/BpS2tq/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\nVxM7+qe2T3kQLo8H3r/YXmm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uEU72m6G2UxO9SZFSSvmL2DQiIvIt0DzEW3f6LxhjjIiU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\n/h+qAO4r4UH7sAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31f17b0dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if plot_train_curve:\n",
    "    x = range(len(train_stats))\n",
    "    d_loss = [t[1] for t in train_stats]\n",
    "    g_loss = [t[2] for t in train_stats]\n",
    "    plt.plot(x, d_loss, '--')\n",
    "    plt.plot(x, g_loss)\n",
    "    plt.title('GAN training. (%s)' %(class_name))\n",
    "    plt.legend(['Discriminator', 'Generator'], loc=0)\n",
    "    \n",
    "    plt.tick_params(axis='x', which='both', bottom='off', top='off')\n",
    "    plt.tick_params(axis='y', which='both', left='off', right='off')\n",
    "    \n",
    "    plt.xlabel('Epochs.') \n",
    "    plt.ylabel('Loss.')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "TensorFlow1",
   "language": "python",
   "name": "tf1"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
